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

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Sum

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

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Solution

Possible outcomes of tossing a coin three times will be
{HHH, TTT, HHT, HTH, THH, TTH, THT, HTT} = 8
Getting the same result in all tosses is a success.
We need to find the probability of losing the game that means not the same result in all tosses
Favourable outcomes are {HHT, HTH, THH, TTH, THT, HTT} = 6
Probability of losing a game = `(6)/(8) = (3)/(4)`

Therefore, the probability of losing a game is `(3)/(4)`.

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