{"id":2356,"date":"2012-11-07T20:46:00","date_gmt":"2012-11-07T20:46:00","guid":{"rendered":"http:\/\/testpreparations.com\/help\/?p=2356"},"modified":"2014-12-02T08:31:57","modified_gmt":"2014-12-02T08:31:57","slug":"introduction-to-probability-events","status":"publish","type":"post","link":"https:\/\/schooltutoring.com\/help\/introduction-to-probability-events\/","title":{"rendered":"Introduction to Probability: Events"},"content":{"rendered":"

An event<\/strong> is a collection of possible outcomes.<\/p>\n

For example, the act of dolling a dice is an event. The collection of possible outcomes is that you will roll a 1, 2, 3, 4, 5 or 6. When you consider the event of rolling a 6, there are two possible events: you roll a 6 or you do not roll a dice. There is one possible way of rolling a 6, while there are 5 possible ways of not rolling a 6 because you can roll a 1, 2, 3, 4, or 5.<\/p>\n

We define the probability<\/strong> of an event, E, to be:<\/p>\n

P(E) = (number of events within E)\/ (total number of possible outcomes)<\/p>\n

 <\/p>\n

Let\u2019s look at an some examples:<\/p>\n

Example One<\/strong>: When you roll a die, what is the probability of rolling a 6?<\/p>\n

The event we are looking at is rolling a 6 when you roll a die.<\/p>\n

There is one possible way to roll a 6 on a die.<\/p>\n

There are 6 possible outcomes when you roll a die; rolling a 1, 2, 3, 4, 5, or 6.<\/p>\n

P(rolling a 6) = 1\/6<\/p>\n

Therefore, the probability of rolling a 6 when you roll a die is 1\/6.<\/p>\n

 <\/p>\n

Example Two<\/strong>: You have 4 cards, each with one of the numbers, 5, 6, 7, or 8, written on them. You pick a card at random. What is the probability that the card you pick will have a 6 written on it?<\/p>\n

The event we are looking at is picking the card labelled with a 6.<\/p>\n

There is one possible way to pick the card labelled with a 6.<\/p>\n

There are 4 possible outcomes when you choose one of the four cards at random.<\/p>\n

P(choosing the 6 card) = 1\/4<\/p>\n

Therefore, the probability of choosing the card labelled with a 6 is 1\/4.<\/p>\n

 <\/p>\n

Example Three<\/strong>: Lamont owns 14 T-shirts, 2 of which are red. If Lamont randomly selects a T-shirt to wear, what is the probability it will be red?<\/p>\n

The event we are looking at is Lamont randomly selecting a red T-shirt.<\/p>\n

There are two possible ways of Lamont selecting a red T-shirt.<\/p>\n

There are 14 possible ways of Lamont selecting a T-shirt to wear.<\/p>\n

P(Lamont selecting a red shirt) = 2\/14 = 1\/7<\/p>\n

Therefore, the probability of Lamont choosing a red T-shirt to wear is 1\/7.<\/p>\n

Looking to get ready for the SAT? We can help with SAT Prep<\/a><\/p>\n

This article was written for you by Mia<\/strong>, one of the tutors with Test Prep Academy.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

An event is a collection of possible outcomes. For example, the act of dolling a dice is an event. The collection of possible outcomes is that you will roll a 1, 2, 3, 4, 5 or 6. When you consider the event of rolling a 6, there are two possible events: you roll a 6 […]<\/p>\n","protected":false},"author":6,"featured_media":2357,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[2841,3020,3015,2851],"tags":[3068,3093,3189,3247],"class_list":["post-2356","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-act","category-essay-and-writing","category-math-act","category-sat","tag-definition-of-probability","tag-finding-simple-probabilities","tag-introduction-to-probability","tag-probability-of-simple-events"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/2356","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/comments?post=2356"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/2356\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/media\/2357"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/media?parent=2356"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/categories?post=2356"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/tags?post=2356"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}