{"id":1500,"date":"2022-01-18T20:03:59","date_gmt":"2022-01-18T20:03:59","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/?post_type=chapter&#038;p=1500"},"modified":"2022-02-08T02:17:28","modified_gmt":"2022-02-08T02:17:28","slug":"7a","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/chapter\/7a\/","title":{"raw":"7A","rendered":"7A"},"content":{"raw":"<div align=\"center\">\r\n\r\n<img class=\"alignnone wp-image-1508\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/18200628\/Picture13-300x205.jpg\" alt=\"Lots of numbers scattered in a random arrangement.\" width=\"1043\" height=\"716\" \/>\r\n\r\n<img class=\"alignnone wp-image-1509\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/18200633\/Picture210-300x106.png\" alt=\"A table labeled &quot;Pick 100 Random Numbers Between 1 and 20.&quot; The table has two rows, the first one showing numbers 1 through 10 and the second one showing numbers 11-20. Numbers 1 and 2 are highlighted in green, 3 through 6 are highlighted in gray, and the rest are highlighted in blue.\" width=\"1020\" height=\"360\" \/>\r\n\r\n<img class=\"alignnone wp-image-1503\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/18200258\/Picture33-300x201.png\" alt=\"Two rows of three squares each, representing the six faces of a die.\" width=\"1021\" height=\"684\" \/>\r\n\r\n<img class=\"alignnone wp-image-1504\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/18200304\/Picture44-300x300.png\" alt=\"A circle divided into five sections of equal size, but each a different color: pink, orange, yellow, blue, and green, respectively. There is an arrow going through the center.\" width=\"1248\" height=\"1248\" \/>\r\n\r\n<img class=\"alignnone wp-image-1505\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/18200309\/Picture52-300x103.png\" alt=\"A table labeled &quot;Pick 1 Random Number Between 1 and 10.&quot; The table has only one row, which has numbers 1 through 10, all highlighted in blue.\" width=\"1051\" height=\"361\" \/>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>Cash Prize<\/strong><\/td>\r\n<td>$10<\/td>\r\n<td>$5<\/td>\r\n<td>$0<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>Probability of Winning<\/strong><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<div style=\"text-align: left;\" align=\"center\">\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td>Skill or Concept: I can . . .<\/td>\r\n<td>Questions to check your understanding<\/td>\r\n<td>Rating\r\nfrom 1 to 5<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Identify possible outcomes of a chance experiment.<\/td>\r\n<td>1<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Identify a valid probability.<\/td>\r\n<td>2<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Calculate basic theoretical probabilities.<\/td>\r\n<td>3, 4<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Conduct a chance experiment to estimate probability.<\/td>\r\n<td>5, 6<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\nGlossary\r\n<dl id=\"fs-id1170572229168\" class=\"definition\">\r\n \t<dt>chance experiment<\/dt>\r\n \t<dd id=\"fs-id1170572229174\">an experiment involving making an observation in a situation where there is uncertainty about which of two or more possible outcomes will result.<\/dd>\r\n<\/dl>\r\n<dl id=\"fs-id1170572229190\" class=\"definition\">\r\n \t<dt>sample space<\/dt>\r\n \t<dd id=\"fs-id1170572229195\">the list of all possible outcomes of a chance experiment.<\/dd>\r\n<\/dl>\r\n<dl id=\"fs-id1170572482608\" class=\"definition\">\r\n \t<dt>event<\/dt>\r\n \t<dd id=\"fs-id1170572482614\">an outcome or collection of outcomes for a chance experiment.<\/dd>\r\n<\/dl>\r\n<dl id=\"fs-id1170572482619\" class=\"definition\">\r\n \t<dt>probability<\/dt>\r\n \t<dd id=\"fs-id1170572482624\">a numeric measure of how likely the event is to happen.<\/dd>\r\n<\/dl>\r\n<dl id=\"fs-id1170572482683\" class=\"definition\">\r\n \t<dt>The Law of Large Numbers<\/dt>\r\n \t<dd id=\"fs-id1170572482689\">as we increase the number of times we repeat a chance experiment, the closer we can expect the empirical probability calculated from our chance experiment to be to the true probability<\/dd>\r\n<\/dl>\r\n<dl id=\"fs-id1170572482683\" class=\"definition\">\r\n \t<dt>empirical probability<\/dt>\r\n \t<dd id=\"fs-id1170572482689\">the probability estimated from a chance experiment.<\/dd>\r\n<\/dl>\r\n<\/div>\r\n<\/div>","rendered":"<div style=\"margin: auto;\">\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1508\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/18200628\/Picture13-300x205.jpg\" alt=\"Lots of numbers scattered in a random arrangement.\" width=\"1043\" height=\"716\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1509\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/18200633\/Picture210-300x106.png\" alt=\"A table labeled &quot;Pick 100 Random Numbers Between 1 and 20.&quot; The table has two rows, the first one showing numbers 1 through 10 and the second one showing numbers 11-20. Numbers 1 and 2 are highlighted in green, 3 through 6 are highlighted in gray, and the rest are highlighted in blue.\" width=\"1020\" height=\"360\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1503\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/18200258\/Picture33-300x201.png\" alt=\"Two rows of three squares each, representing the six faces of a die.\" width=\"1021\" height=\"684\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1504\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/18200304\/Picture44-300x300.png\" alt=\"A circle divided into five sections of equal size, but each a different color: pink, orange, yellow, blue, and green, respectively. There is an arrow going through the center.\" width=\"1248\" height=\"1248\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1505\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/18200309\/Picture52-300x103.png\" alt=\"A table labeled &quot;Pick 1 Random Number Between 1 and 10.&quot; The table has only one row, which has numbers 1 through 10, all highlighted in blue.\" width=\"1051\" height=\"361\" \/><\/p>\n<table>\n<tbody>\n<tr>\n<td><strong>Cash Prize<\/strong><\/td>\n<td>$10<\/td>\n<td>$5<\/td>\n<td>$0<\/td>\n<\/tr>\n<tr>\n<td><strong>Probability of Winning<\/strong><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div style=\"text-align: left; margin: auto;\">\n<table>\n<tbody>\n<tr>\n<td>Skill or Concept: I can . . .<\/td>\n<td>Questions to check your understanding<\/td>\n<td>Rating<br \/>\nfrom 1 to 5<\/td>\n<\/tr>\n<tr>\n<td>Identify possible outcomes of a chance experiment.<\/td>\n<td>1<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Identify a valid probability.<\/td>\n<td>2<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Calculate basic theoretical probabilities.<\/td>\n<td>3, 4<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Conduct a chance experiment to estimate probability.<\/td>\n<td>5, 6<\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Glossary<\/p>\n<dl id=\"fs-id1170572229168\" class=\"definition\">\n<dt>chance experiment<\/dt>\n<dd id=\"fs-id1170572229174\">an experiment involving making an observation in a situation where there is uncertainty about which of two or more possible outcomes will result.<\/dd>\n<\/dl>\n<dl id=\"fs-id1170572229190\" class=\"definition\">\n<dt>sample space<\/dt>\n<dd id=\"fs-id1170572229195\">the list of all possible outcomes of a chance experiment.<\/dd>\n<\/dl>\n<dl id=\"fs-id1170572482608\" class=\"definition\">\n<dt>event<\/dt>\n<dd id=\"fs-id1170572482614\">an outcome or collection of outcomes for a chance experiment.<\/dd>\n<\/dl>\n<dl id=\"fs-id1170572482619\" class=\"definition\">\n<dt>probability<\/dt>\n<dd id=\"fs-id1170572482624\">a numeric measure of how likely the event is to happen.<\/dd>\n<\/dl>\n<dl id=\"fs-id1170572482683\" class=\"definition\">\n<dt>The Law of Large Numbers<\/dt>\n<dd id=\"fs-id1170572482689\">as we increase the number of times we repeat a chance experiment, the closer we can expect the empirical probability calculated from our chance experiment to be to the true probability<\/dd>\n<\/dl>\n<dl id=\"fs-id1170572482683\" class=\"definition\">\n<dt>empirical probability<\/dt>\n<dd id=\"fs-id1170572482689\">the probability estimated from a chance experiment.<\/dd>\n<\/dl>\n<\/div>\n<\/div>\n","protected":false},"author":23592,"menu_order":25,"template":"","meta":{"_candela_citation":"[]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-1500","chapter","type-chapter","status-publish","hentry"],"part":704,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/1500","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/users\/23592"}],"version-history":[{"count":6,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/1500\/revisions"}],"predecessor-version":[{"id":2908,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/1500\/revisions\/2908"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/parts\/704"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/1500\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/media?parent=1500"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapter-type?post=1500"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/contributor?post=1500"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/license?post=1500"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}