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A Game Consists of Tossing a Coin 3 Times and Noting the Outcome Each Time. If Getting the Result in the Tosses is a Success, Find the Probability of Losing the Game. - Mathematics

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प्रश्न

A game consists of tossing a coin 3 times and noting the outcome each time. If getting the result in the tosses is a success, find the probability of losing the game. 

बेरीज

उत्तर

Total possible outcomes are (HHH), (HHT), (HTH), (THH), (TTH), (THT), (HTT),  (TTT) i.e ., 8. `[1/2]`
The favourable outcomes to the event E 'same result in all the tosses' are TTT, HHH. Therefore, the number of favourable outcomes = 2

∵ P(E)`=2/8=1/4`

Hence, the probability of losing the game = 1 - P(E)
= `1-1/4=3/4`.

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2018-2019 (March) 30/1/1

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