8A

Three categories, one labeled peanuts, one labeled hot dog, and one labeled soda. In the peanuts category, there are two dots. In the hot dog category, there are three dots. In the soda category, there are five dots.A dot plot labeled "Number of Wins (Peanut)." The x-axis is labeled in increments of 2. For 0, there are 2 dots. For 1, there is 1 dot. For 2, there are 3 dots. For 3, there are 9 dots. For 4, there are 4 dots. For 5, there are 3 dots. For 6, there is 1 dot. For 7, there is 1 dot.Four people gathered around a table playing a board gameA bar chart showing "Number of Successes" on the x-axis and "Probability on the y-axis. For 0, the probability is 0.4. For 1, the probability is 0.4. For 2, the probability is approximately 0.16. For 3, the probability is approximately 0.03. For 4, the probability is approximately 0.01. For 5, the probability is approximately 0.A graph labeled "Number of Successes" on the x-axis and "Probability" on the y-axis. The graph's peak is on the left side of the graph at approximately 16.5. One either side of this peak, values decrease at roughly the same rate, approaching zero around 6 and 30, respectively.A graph labeled in increments of 2.5 on the horizontal axis. The graph shows a curve with a peak near 63.5. There is a vertical dotted line at 60 and another at 66. The section between the two is labeled 76.06%, the section to the left of 60 is labeled 8.08%, and the section to the right of 66 is labeled 15.87%. Above the graph is an equation reading "P(60 < X < 66) = 76.06%"A graph labeled "Number of successes" on the horizontal axis and numbered in increments of 3. There is a peak around 16.5.A bar chart labeled "Number of Successes" on the horizontal axis and "Probability" on the vertical axis. For 0, the probability is approximately 0. For 1, the probability is approximately 0.01. For 2, the probability is approximately 0.045. For 3, the probability is approximately 0.12. For 4, the probability is approximately 0.205. For 5, the probability is approximately 0.245. For 6, the probability is approximately 0.205. For 7, the probability is approximately 0.12. For 8, the probability is approximately 0.045 For 9, the probability is approximately 0.01. For 10, the probability is approximately 0.A graph labeled in increments of 1 from 20 to 25 on the x-axis. It has a curve with a peak around 22.5.

Outcome Probability
Peanut
Hot Dog
Soda
Peanut – Peanut Hot Dog – Peanut Soda – Peanut
Peanut – Hot Dog Hot Dog – Hot Dog Soda – Hot Dog
Peanut – Soda Hot Dog – Soda Soda – Soda
Number of Wins (Peanut) Probability
 Number of Purples Probability
0
1
2
3
4
5
= Number of Purples Probability
0 0.4019
1 0.4019
2 0.1608
3 0.0322
4 0.0032
5 0.0001
 = Number of heads Probability
0 0.0010
1 0.0098
2 0.0439
3 0.1172
4 0.2051
5 0.2461
6 0.2051
7 0.1172
8 0.0439
9 0.0098
10 0.0010
Outcome Probability
Red
Yellow
Blue
Outcome Probability
Outcome Probability
Number of Heads Probability
0 0.25
1
2
Skill or Concept: I can . . . Questions to check your understanding Rating
from 1 to 5
Construct a probability model to describe simple chance experiments. 1, 4
Calculate the probability of a particular event using probabilities given in a table. 2, 3
Begin to think critically about the number of “successes” that would occur if a chance experiment were repeated multiple times. 5–7

Glossary

discrete
taking a fixed set of possible numerical values where it is not possible to get any value in between.
probability distribution
a distribution that includes all possible values of a random variable and the probabilities associated with those values.
continuous
including an infinite number of possible values.
probability model
a model that includes all possible outcomes of a chance experiment and the probabilities associated with those outcomes.