{"id":2672,"date":"2017-04-14T17:44:02","date_gmt":"2017-04-14T17:44:02","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/waymakermath4libarts\/?post_type=chapter&#038;p=2672"},"modified":"2021-04-25T21:13:55","modified_gmt":"2021-04-25T21:13:55","slug":"assignment-probability-problem-set","status":"web-only","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/nwfsc-mathforliberalartscorequisite\/chapter\/assignment-probability-problem-set\/","title":{"raw":"Module 5 Problems","rendered":"Module 5 Problems"},"content":{"raw":"<ol>\r\n \t<li>A ball is drawn randomly from a jar that contains 6 red balls, 2 white balls, and 5 yellow balls. Find the probability of the given event.\r\n<ol style=\"list-style-type: lower-alpha\">\r\n \t<li>A red ball is drawn<\/li>\r\n \t<li>A white ball is drawn<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t<li>Suppose you write each letter of the alphabet on a different slip of paper and put the slips into a hat. What is the probability of drawing one slip of paper from the hat at random and getting:\r\n<ol style=\"list-style-type: lower-alpha\">\r\n \t<li>A consonant<\/li>\r\n \t<li>A vowel<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t<li>A group of people were asked if they had run a red light in the last year. 150 responded \"yes\", and 185 responded \"no\". Find the probability that if a person is chosen at random, they have run a red light in the last year.<\/li>\r\n \t<li>In a survey, 205 people indicated they prefer cats, 160 indicated they prefer dots, and 40 indicated they don\u2019t enjoy either pet. Find the probability that if a person is chosen at random, they prefer cats.<\/li>\r\n \t<li>Compute the probability of tossing a six-sided die (with sides numbered 1 through 6) and getting a 5.<\/li>\r\n \t<li>Compute the probability of tossing a six-sided die and getting a 7.<\/li>\r\n \t<li>Giving a test to a group of students, the grades and gender are summarized below. If one student was chosen at random, find the probability that the student was female.<\/li>\r\n<\/ol>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td>A<\/td>\r\n<td>B<\/td>\r\n<td>C<\/td>\r\n<td>Total<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Male<\/td>\r\n<td>8<\/td>\r\n<td>18<\/td>\r\n<td>13<\/td>\r\n<td>39<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Female<\/td>\r\n<td>10<\/td>\r\n<td>4<\/td>\r\n<td>12<\/td>\r\n<td>26<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Total<\/td>\r\n<td>18<\/td>\r\n<td>22<\/td>\r\n<td>25<\/td>\r\n<td>65<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n&nbsp;\r\n<ol start=\"8\">\r\n \t<li>The table below shows the number of credit cards owned by a group of individuals. If one person was chosen at random, find the probability that the person had no credit cards.<\/li>\r\n<\/ol>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td>Zero<\/td>\r\n<td>One<\/td>\r\n<td>Two or more<\/td>\r\n<td>Total<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Male<\/td>\r\n<td>9<\/td>\r\n<td>5<\/td>\r\n<td>19<\/td>\r\n<td>33<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Female<\/td>\r\n<td>18<\/td>\r\n<td>10<\/td>\r\n<td>20<\/td>\r\n<td>48<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Total<\/td>\r\n<td>27<\/td>\r\n<td>15<\/td>\r\n<td>39<\/td>\r\n<td>81<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<ol start=\"9\">\r\n \t<li>Compute the probability of tossing a six-sided die and getting an even number.<\/li>\r\n \t<li>Compute the probability of tossing a six-sided die and getting a number less than 3.<\/li>\r\n \t<li>If you pick one card at random from a standard deck of cards, what is the probability it will be a King?<\/li>\r\n \t<li>If you pick one card at random from a standard deck of cards, what is the probability it will be a Diamond?<\/li>\r\n \t<li>Compute the probability of rolling a 12-sided die and getting a number other than 8.<\/li>\r\n \t<li>If you pick one card at random from a standard deck of cards, what is the probability it is not the Ace of Spades?<\/li>\r\n \t<li>Referring to the grade table from question #7, what is the probability that a student chosen at random did NOT earn a C?<\/li>\r\n \t<li>Referring to the credit card table from question #8, what is the probability that a person chosen at random has at least one credit card?<\/li>\r\n \t<li>A six-sided die is rolled twice. What is the probability of showing a 6 on both rolls?<\/li>\r\n \t<li>A fair coin is flipped twice. What is the probability of showing heads on both flips?<\/li>\r\n \t<li>A die is rolled twice. What is the probability of showing a 5 on the first roll and an even number on the second roll?<\/li>\r\n \t<li>Suppose a jar contains 17 red marbles and 32 blue marbles. If you reach in the jar and pull out 2 marbles at random, find the probability that both are red.<\/li>\r\n \t<li>Suppose you write each letter of the alphabet on a different slip of paper and put the slips into a hat. If you pull out two slips at random, find the probability that both are vowels.<\/li>\r\n \t<li>Bert and Ernie each have a well-shuffled standard deck of 52 cards. They each draw one card from their own deck. Compute the probability that:\r\n<ol style=\"list-style-type: lower-alpha\">\r\n \t<li>Bert and Ernie both draw an Ace.<\/li>\r\n \t<li>Bert draws an Ace but Ernie does not.<\/li>\r\n \t<li>neither Bert nor Ernie draws an Ace.<\/li>\r\n \t<li>Bert and Ernie both draw a heart.<\/li>\r\n \t<li>Bert gets a card that is not a Jack and Ernie draws a card that is not a heart.<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t<li>Bert has a well-shuffled standard deck of 52 cards, from which he draws one card; Ernie has a 12-sided die, which he rolls at the same time Bert draws a card. Compute the probability that:\r\n<ol style=\"list-style-type: lower-alpha\">\r\n \t<li>Bert gets a Jack and Ernie rolls a five.<\/li>\r\n \t<li>Bert gets a heart and Ernie rolls a number less than six.<\/li>\r\n \t<li>Bert gets a face card (Jack, Queen or King) and Ernie rolls an even number.<\/li>\r\n \t<li>Bert gets a red card and Ernie rolls a fifteen.<\/li>\r\n \t<li>Bert gets a card that is not a Jack and Ernie rolls a number that is not twelve.<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t<li>Compute the probability of drawing a King from a deck of cards and then drawing a Queen.<\/li>\r\n \t<li>Compute the probability of drawing two spades from a deck of cards.<\/li>\r\n \t<li>A math class consists of 25 students, 14 female and 11 male.\u00a0 Two students are selected at random to participate in a probability experiment.\u00a0 Compute the probability that\r\n<ol style=\"list-style-type: lower-alpha\">\r\n \t<li>a male is selected, then a female.<\/li>\r\n \t<li>a female is selected, then a male.<\/li>\r\n \t<li>two males are selected.<\/li>\r\n \t<li>two females are selected.<\/li>\r\n \t<li>no males are selected.<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t<li>A math class consists of 25 students, 14 female and 11 male.\u00a0 Three students are selected at random to participate in a probability experiment.\u00a0 Compute the probability that\r\n<ol style=\"list-style-type: lower-alpha\">\r\n \t<li>a male is selected, then two females.<\/li>\r\n \t<li>a female is selected, then two males.<\/li>\r\n \t<li>two females are selected, then one male.<\/li>\r\n \t<li>three males are selected.<\/li>\r\n \t<li>three females are selected.<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t<li>Giving a test to a group of students, the grades and gender are summarized below. If one student was chosen at random, find the probability that the student was female and earned an A.<\/li>\r\n<\/ol>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td>A<\/td>\r\n<td>B<\/td>\r\n<td>C<\/td>\r\n<td>Total<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Male<\/td>\r\n<td>8<\/td>\r\n<td>18<\/td>\r\n<td>13<\/td>\r\n<td>39<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Female<\/td>\r\n<td>10<\/td>\r\n<td>4<\/td>\r\n<td>12<\/td>\r\n<td>26<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Total<\/td>\r\n<td>18<\/td>\r\n<td>22<\/td>\r\n<td>25<\/td>\r\n<td>65<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<ol start=\"30\">\r\n \t<li>The table below shows the number of credit cards owned by a group of individuals. If one person was chosen at random, find the probability that the person was male and had two or more credit cards.<\/li>\r\n<\/ol>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td>Zero<\/td>\r\n<td>One<\/td>\r\n<td>Two or more<\/td>\r\n<td>Total<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Male<\/td>\r\n<td>9<\/td>\r\n<td>5<\/td>\r\n<td>19<\/td>\r\n<td>33<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Female<\/td>\r\n<td>18<\/td>\r\n<td>10<\/td>\r\n<td>20<\/td>\r\n<td>48<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Total<\/td>\r\n<td>27<\/td>\r\n<td>15<\/td>\r\n<td>39<\/td>\r\n<td>81<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<ol start=\"31\">\r\n \t<li>A jar contains 6 red marbles numbered 1 to 6 and 8 blue marbles numbered 1 to 8. A marble is drawn at random from the jar. Find the probability the marble is red or odd-numbered.<\/li>\r\n \t<li>A jar contains 4 red marbles numbered 1 to 4 and 10 blue marbles numbered 1 to 10. A marble is drawn at random from the jar. Find the probability the marble is blue or even-numbered.<\/li>\r\n \t<li>Referring to the table from #29, find the probability that a student chosen at random is female or earned a B.<\/li>\r\n \t<li>Referring to the table from #30, find the probability that a person chosen at random is male or has no credit cards.<\/li>\r\n \t<li>Compute the probability of drawing the King of hearts or a Queen from a deck of cards.<\/li>\r\n \t<li>Compute the probability of drawing a King or a heart from a deck of cards.<\/li>\r\n \t<li>A jar contains 5 red marbles numbered 1 to 5 and 8 blue marbles numbered 1 to 8. A marble is drawn at random from the jar. Find the probability the marble is\r\n<ol style=\"list-style-type: lower-alpha\">\r\n \t<li>Even-numbered given that the marble is red.<\/li>\r\n \t<li>Red given that the marble is even-numbered.<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t<li>A jar contains 4 red marbles numbered 1 to 4 and 8 blue marbles numbered 1 to 8. A marble is drawn at random from the jar. Find the probability the marble is\r\n<ol style=\"list-style-type: lower-alpha\">\r\n \t<li>Odd-numbered given that the marble is blue.<\/li>\r\n \t<li>Blue given that the marble is odd-numbered.<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t<li>Compute the probability of flipping a coin and getting heads, given that the previous flip was tails.<\/li>\r\n \t<li>Find the probability of rolling a \u201c1\u201d on a fair die, given that the last 3 rolls were all ones.<\/li>\r\n \t<li>Suppose a math class contains 25 students, 14 females (three of whom speak French) and 11 males (two of whom speak French). Compute the probability that a randomly selected student speaks French, given that the student is female.<\/li>\r\n \t<li>Suppose a math class contains 25 students, 14 females (three of whom speak French) and 11 males (two of whom speak French). Compute the probability that a randomly selected student is male, given that the student speaks French.<\/li>\r\n \t<li>A jury pool consists of 27 people, 14 men and 13 women. Compute the probability that a randomly selected jury of 12 people is all male.<\/li>\r\n \t<li>In a lottery game, a player picks six numbers from 1 to 48. If 5 of the 6 numbers match those drawn, they player wins second prize. What is the probability of winning this prize?<\/li>\r\n \t<li>In a lottery game, a player picks six numbers from 1 to 48. If 4 of the 6 numbers match those drawn, they player wins third prize. What is the probability of winning this prize?<\/li>\r\n \t<li>Compute the probability that a 5-card poker hand is dealt to you that contains all hearts.<\/li>\r\n \t<li>Compute the probability that a 5-card poker hand is dealt to you that contains four Aces.<\/li>\r\n \t<li>For the questions below, consider a regular six-sided die.\r\n<ol>\r\n \t<li>For rolling a number cube, what are the odds in favor of rolling a number greater than 3?<\/li>\r\n \t<li>For rolling a number cube, what are the odds in favor rolling a number less than 5?<\/li>\r\n \t<li>For rolling a number cube, what are the odds against rolling a number less than 5?<\/li>\r\n \t<li>For rolling a number cube, what are the odds in favor of rolling an even number?<\/li>\r\n \t<li>For rolling a number cube, what are the odds against rolling an even number?<\/li>\r\n<\/ol>\r\nFor a spinner numbered 1 \u201310, answer the following questions.\r\n<ol>\r\n \t<li>For spinning the spinner, what are the odds in favor of the arrow landing on 10?<\/li>\r\n \t<li>For spinning the spinner, what are the odds in favor of the arrow landing on a 2 or 3?<\/li>\r\n \t<li>For spinning the spinner, what are the odds in favor of the arrow landing on 7, 8 or 9?<\/li>\r\n \t<li>For spinning the spinner, what are the odds in favor of NOT landing on an even number?<\/li>\r\n \t<li>For spinning the spinner, what are the odds of the arrow NOT landing on 10?<\/li>\r\n \t<li>For spinning the spinner, what are the odds in favor of the arrow landing on a number greater than 2?<\/li>\r\n \t<li>For spinning the spinner, what are the odds in favor of the arrow NOT landing on a number greater than 2?<\/li>\r\n \t<li>For spinning the spinner, what are the odds of the arrow not landing on a number greater than 3?<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ol>","rendered":"<ol>\n<li>A ball is drawn randomly from a jar that contains 6 red balls, 2 white balls, and 5 yellow balls. Find the probability of the given event.\n<ol style=\"list-style-type: lower-alpha\">\n<li>A red ball is drawn<\/li>\n<li>A white ball is drawn<\/li>\n<\/ol>\n<\/li>\n<li>Suppose you write each letter of the alphabet on a different slip of paper and put the slips into a hat. What is the probability of drawing one slip of paper from the hat at random and getting:\n<ol style=\"list-style-type: lower-alpha\">\n<li>A consonant<\/li>\n<li>A vowel<\/li>\n<\/ol>\n<\/li>\n<li>A group of people were asked if they had run a red light in the last year. 150 responded &#8220;yes&#8221;, and 185 responded &#8220;no&#8221;. Find the probability that if a person is chosen at random, they have run a red light in the last year.<\/li>\n<li>In a survey, 205 people indicated they prefer cats, 160 indicated they prefer dots, and 40 indicated they don\u2019t enjoy either pet. Find the probability that if a person is chosen at random, they prefer cats.<\/li>\n<li>Compute the probability of tossing a six-sided die (with sides numbered 1 through 6) and getting a 5.<\/li>\n<li>Compute the probability of tossing a six-sided die and getting a 7.<\/li>\n<li>Giving a test to a group of students, the grades and gender are summarized below. If one student was chosen at random, find the probability that the student was female.<\/li>\n<\/ol>\n<table>\n<tbody>\n<tr>\n<td><\/td>\n<td>A<\/td>\n<td>B<\/td>\n<td>C<\/td>\n<td>Total<\/td>\n<\/tr>\n<tr>\n<td>Male<\/td>\n<td>8<\/td>\n<td>18<\/td>\n<td>13<\/td>\n<td>39<\/td>\n<\/tr>\n<tr>\n<td>Female<\/td>\n<td>10<\/td>\n<td>4<\/td>\n<td>12<\/td>\n<td>26<\/td>\n<\/tr>\n<tr>\n<td>Total<\/td>\n<td>18<\/td>\n<td>22<\/td>\n<td>25<\/td>\n<td>65<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<ol start=\"8\">\n<li>The table below shows the number of credit cards owned by a group of individuals. If one person was chosen at random, find the probability that the person had no credit cards.<\/li>\n<\/ol>\n<table>\n<tbody>\n<tr>\n<td><\/td>\n<td>Zero<\/td>\n<td>One<\/td>\n<td>Two or more<\/td>\n<td>Total<\/td>\n<\/tr>\n<tr>\n<td>Male<\/td>\n<td>9<\/td>\n<td>5<\/td>\n<td>19<\/td>\n<td>33<\/td>\n<\/tr>\n<tr>\n<td>Female<\/td>\n<td>18<\/td>\n<td>10<\/td>\n<td>20<\/td>\n<td>48<\/td>\n<\/tr>\n<tr>\n<td>Total<\/td>\n<td>27<\/td>\n<td>15<\/td>\n<td>39<\/td>\n<td>81<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<ol start=\"9\">\n<li>Compute the probability of tossing a six-sided die and getting an even number.<\/li>\n<li>Compute the probability of tossing a six-sided die and getting a number less than 3.<\/li>\n<li>If you pick one card at random from a standard deck of cards, what is the probability it will be a King?<\/li>\n<li>If you pick one card at random from a standard deck of cards, what is the probability it will be a Diamond?<\/li>\n<li>Compute the probability of rolling a 12-sided die and getting a number other than 8.<\/li>\n<li>If you pick one card at random from a standard deck of cards, what is the probability it is not the Ace of Spades?<\/li>\n<li>Referring to the grade table from question #7, what is the probability that a student chosen at random did NOT earn a C?<\/li>\n<li>Referring to the credit card table from question #8, what is the probability that a person chosen at random has at least one credit card?<\/li>\n<li>A six-sided die is rolled twice. What is the probability of showing a 6 on both rolls?<\/li>\n<li>A fair coin is flipped twice. What is the probability of showing heads on both flips?<\/li>\n<li>A die is rolled twice. What is the probability of showing a 5 on the first roll and an even number on the second roll?<\/li>\n<li>Suppose a jar contains 17 red marbles and 32 blue marbles. If you reach in the jar and pull out 2 marbles at random, find the probability that both are red.<\/li>\n<li>Suppose you write each letter of the alphabet on a different slip of paper and put the slips into a hat. If you pull out two slips at random, find the probability that both are vowels.<\/li>\n<li>Bert and Ernie each have a well-shuffled standard deck of 52 cards. They each draw one card from their own deck. Compute the probability that:\n<ol style=\"list-style-type: lower-alpha\">\n<li>Bert and Ernie both draw an Ace.<\/li>\n<li>Bert draws an Ace but Ernie does not.<\/li>\n<li>neither Bert nor Ernie draws an Ace.<\/li>\n<li>Bert and Ernie both draw a heart.<\/li>\n<li>Bert gets a card that is not a Jack and Ernie draws a card that is not a heart.<\/li>\n<\/ol>\n<\/li>\n<li>Bert has a well-shuffled standard deck of 52 cards, from which he draws one card; Ernie has a 12-sided die, which he rolls at the same time Bert draws a card. Compute the probability that:\n<ol style=\"list-style-type: lower-alpha\">\n<li>Bert gets a Jack and Ernie rolls a five.<\/li>\n<li>Bert gets a heart and Ernie rolls a number less than six.<\/li>\n<li>Bert gets a face card (Jack, Queen or King) and Ernie rolls an even number.<\/li>\n<li>Bert gets a red card and Ernie rolls a fifteen.<\/li>\n<li>Bert gets a card that is not a Jack and Ernie rolls a number that is not twelve.<\/li>\n<\/ol>\n<\/li>\n<li>Compute the probability of drawing a King from a deck of cards and then drawing a Queen.<\/li>\n<li>Compute the probability of drawing two spades from a deck of cards.<\/li>\n<li>A math class consists of 25 students, 14 female and 11 male.\u00a0 Two students are selected at random to participate in a probability experiment.\u00a0 Compute the probability that\n<ol style=\"list-style-type: lower-alpha\">\n<li>a male is selected, then a female.<\/li>\n<li>a female is selected, then a male.<\/li>\n<li>two males are selected.<\/li>\n<li>two females are selected.<\/li>\n<li>no males are selected.<\/li>\n<\/ol>\n<\/li>\n<li>A math class consists of 25 students, 14 female and 11 male.\u00a0 Three students are selected at random to participate in a probability experiment.\u00a0 Compute the probability that\n<ol style=\"list-style-type: lower-alpha\">\n<li>a male is selected, then two females.<\/li>\n<li>a female is selected, then two males.<\/li>\n<li>two females are selected, then one male.<\/li>\n<li>three males are selected.<\/li>\n<li>three females are selected.<\/li>\n<\/ol>\n<\/li>\n<li>Giving a test to a group of students, the grades and gender are summarized below. If one student was chosen at random, find the probability that the student was female and earned an A.<\/li>\n<\/ol>\n<table>\n<tbody>\n<tr>\n<td><\/td>\n<td>A<\/td>\n<td>B<\/td>\n<td>C<\/td>\n<td>Total<\/td>\n<\/tr>\n<tr>\n<td>Male<\/td>\n<td>8<\/td>\n<td>18<\/td>\n<td>13<\/td>\n<td>39<\/td>\n<\/tr>\n<tr>\n<td>Female<\/td>\n<td>10<\/td>\n<td>4<\/td>\n<td>12<\/td>\n<td>26<\/td>\n<\/tr>\n<tr>\n<td>Total<\/td>\n<td>18<\/td>\n<td>22<\/td>\n<td>25<\/td>\n<td>65<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<ol start=\"30\">\n<li>The table below shows the number of credit cards owned by a group of individuals. If one person was chosen at random, find the probability that the person was male and had two or more credit cards.<\/li>\n<\/ol>\n<table>\n<tbody>\n<tr>\n<td><\/td>\n<td>Zero<\/td>\n<td>One<\/td>\n<td>Two or more<\/td>\n<td>Total<\/td>\n<\/tr>\n<tr>\n<td>Male<\/td>\n<td>9<\/td>\n<td>5<\/td>\n<td>19<\/td>\n<td>33<\/td>\n<\/tr>\n<tr>\n<td>Female<\/td>\n<td>18<\/td>\n<td>10<\/td>\n<td>20<\/td>\n<td>48<\/td>\n<\/tr>\n<tr>\n<td>Total<\/td>\n<td>27<\/td>\n<td>15<\/td>\n<td>39<\/td>\n<td>81<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<ol start=\"31\">\n<li>A jar contains 6 red marbles numbered 1 to 6 and 8 blue marbles numbered 1 to 8. A marble is drawn at random from the jar. Find the probability the marble is red or odd-numbered.<\/li>\n<li>A jar contains 4 red marbles numbered 1 to 4 and 10 blue marbles numbered 1 to 10. A marble is drawn at random from the jar. Find the probability the marble is blue or even-numbered.<\/li>\n<li>Referring to the table from #29, find the probability that a student chosen at random is female or earned a B.<\/li>\n<li>Referring to the table from #30, find the probability that a person chosen at random is male or has no credit cards.<\/li>\n<li>Compute the probability of drawing the King of hearts or a Queen from a deck of cards.<\/li>\n<li>Compute the probability of drawing a King or a heart from a deck of cards.<\/li>\n<li>A jar contains 5 red marbles numbered 1 to 5 and 8 blue marbles numbered 1 to 8. A marble is drawn at random from the jar. Find the probability the marble is\n<ol style=\"list-style-type: lower-alpha\">\n<li>Even-numbered given that the marble is red.<\/li>\n<li>Red given that the marble is even-numbered.<\/li>\n<\/ol>\n<\/li>\n<li>A jar contains 4 red marbles numbered 1 to 4 and 8 blue marbles numbered 1 to 8. A marble is drawn at random from the jar. Find the probability the marble is\n<ol style=\"list-style-type: lower-alpha\">\n<li>Odd-numbered given that the marble is blue.<\/li>\n<li>Blue given that the marble is odd-numbered.<\/li>\n<\/ol>\n<\/li>\n<li>Compute the probability of flipping a coin and getting heads, given that the previous flip was tails.<\/li>\n<li>Find the probability of rolling a \u201c1\u201d on a fair die, given that the last 3 rolls were all ones.<\/li>\n<li>Suppose a math class contains 25 students, 14 females (three of whom speak French) and 11 males (two of whom speak French). Compute the probability that a randomly selected student speaks French, given that the student is female.<\/li>\n<li>Suppose a math class contains 25 students, 14 females (three of whom speak French) and 11 males (two of whom speak French). Compute the probability that a randomly selected student is male, given that the student speaks French.<\/li>\n<li>A jury pool consists of 27 people, 14 men and 13 women. Compute the probability that a randomly selected jury of 12 people is all male.<\/li>\n<li>In a lottery game, a player picks six numbers from 1 to 48. If 5 of the 6 numbers match those drawn, they player wins second prize. What is the probability of winning this prize?<\/li>\n<li>In a lottery game, a player picks six numbers from 1 to 48. If 4 of the 6 numbers match those drawn, they player wins third prize. What is the probability of winning this prize?<\/li>\n<li>Compute the probability that a 5-card poker hand is dealt to you that contains all hearts.<\/li>\n<li>Compute the probability that a 5-card poker hand is dealt to you that contains four Aces.<\/li>\n<li>For the questions below, consider a regular six-sided die.\n<ol>\n<li>For rolling a number cube, what are the odds in favor of rolling a number greater than 3?<\/li>\n<li>For rolling a number cube, what are the odds in favor rolling a number less than 5?<\/li>\n<li>For rolling a number cube, what are the odds against rolling a number less than 5?<\/li>\n<li>For rolling a number cube, what are the odds in favor of rolling an even number?<\/li>\n<li>For rolling a number cube, what are the odds against rolling an even number?<\/li>\n<\/ol>\n<p>For a spinner numbered 1 \u201310, answer the following questions.<\/p>\n<ol>\n<li>For spinning the spinner, what are the odds in favor of the arrow landing on 10?<\/li>\n<li>For spinning the spinner, what are the odds in favor of the arrow landing on a 2 or 3?<\/li>\n<li>For spinning the spinner, what are the odds in favor of the arrow landing on 7, 8 or 9?<\/li>\n<li>For spinning the spinner, what are the odds in favor of NOT landing on an even number?<\/li>\n<li>For spinning the spinner, what are the odds of the arrow NOT landing on 10?<\/li>\n<li>For spinning the spinner, what are the odds in favor of the arrow landing on a number greater than 2?<\/li>\n<li>For spinning the spinner, what are the odds in favor of the arrow NOT landing on a number greater than 2?<\/li>\n<li>For spinning the spinner, what are the odds of the arrow not landing on a number greater than 3?<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-2672\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Original<\/div><ul class=\"citation-list\"><li>Revision and Adaptation. <strong>Provided by<\/strong>: Lumen Learning. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li> Probability Problem Set. <strong>Authored by<\/strong>: Lippman, David. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/www.opentextbookstore.com\/mathinsociety\/\">http:\/\/www.opentextbookstore.com\/mathinsociety\/<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t 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