Have you ever seen Tossing a Coin before Commencement of a Cricket Match? This is usually done in Matches and the Captain who predicts the Toss Correctly can choose on what his team could defend. It is the most common application of the Coin Toss Experiment. Tossing a Coin is quite useful as the Probability of obtaining Heads is as likely as Tail. There are only two outcomes when you flip a coin i.e. Head(H) and Tail(T).<\/p>\n
However, if you Toss 2, 3, 4, or more coins than that at the same time the Probability is Different. Let us learn about the Coin Toss Probability Formula in detail in the later sections. You can check out Solved Examples on Tossing a Coin and their Probabilities here.<\/p>\n
When Tossed a Coin you will have only two possible outcomes i.e. Head or Tail. However, you will not know which outcome you will get among Heads or Tails. Tossing a Coin is a Random Experiment and you do know the set of Outcomes but not the exact outcomes.<\/p>\n
General Formula to Determine the Probability = \\(\\frac { No.\\; of\\; Favorable\\; Outcomes }{ \u00a0Total\\; Number\\; of\\; Possible\\; Outcomes } \\)<\/p>\n
On Tossing, we do have only two possible outcomes<\/p>\n
Probability of getting Head = \\(\\frac { No.\\;of \\;Outcomes\\; to\\; get\\; Head }{ \u00a0Total\\; Number\\; of\\; Possible\\; Outcomes } \\)<\/p>\n
= \\(\\frac { 1 }{ 2 } \\)<\/p>\n
Probability of getting Tail = \\(\\frac { No.\\; of\\; Outcomes\\; to\\; get\\; Tail }{ \u00a0Total\\; Number\\; of\\; Possible\\; Outcomes } \\)<\/p>\n
= \\(\\frac { 1 }{ 2 } \\)<\/p>\n
1. On tossing a coin twice, what is the probability of getting only one Head?<\/strong><\/p>\n Solution:<\/p>\n On tossing a coin twice, the possible outcomes are {HH, TT, HT, TH}<\/p>\n Therefore, the total number of outcomes is 4<\/p>\n Getting only one Head includes {HT, TH}<\/p>\n Thus, the number of favorable outcomes is 2<\/p>\n Hence, the probability of getting exactly one head =\u00a0 Probability of Favorable Outcomes\/Total Number of Outcomes<\/p>\n = \\(\\frac { 1 }{ 2 } \\)<\/p>\n 2. Three fair coins are tossed simultaneously. What is the probability of getting at least three tails?<\/strong><\/p>\n Solution:<\/p>\n When 3 coins are tossed, the possible outcomes are {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}.<\/p>\n Thus, the total number of possible outcomes = 8 No. of Favorable Outcomes = 1<\/p>\n Probability of getting at least three tails include = Probability of Favorable Outcomes\/Total Number of Outcomes<\/p>\n = \\(\\frac { 1 }{ 8 } \\)<\/p>\n <\/p>\n <\/p>\n","protected":false},"excerpt":{"rendered":" Have you ever seen Tossing a Coin before Commencement of a Cricket Match? This is usually done in Matches and the Captain who predicts the Toss Correctly can choose on what his team could defend. It is the most common application of the Coin Toss Experiment. Tossing a Coin is quite useful as the Probability … Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":52064,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[5],"tags":[],"jetpack_featured_media_url":"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Coin-Toss-Probability.png","_links":{"self":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/52021"}],"collection":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/comments?post=52021"}],"version-history":[{"count":1,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/52021\/revisions"}],"predecessor-version":[{"id":92518,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/52021\/revisions\/92518"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media\/52064"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=52021"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=52021"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=52021"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\nGetting at least 3 tails include the outcomes = {TTT}<\/p>\n