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A game consists of tossing a one rupee coin 3 times and noting

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A game consists of tossing a one rupee coin $3$ times and noting its outcome each time. Hanif wins if all the tosses give the same result i.e., three heads or three tails, and loses otherwise. Calculate the probability that Hanif will lose the game.

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A game consists of tossing a one rupee coin

3

times and noting its outcome each time. Hanif wins if all the tosses give the same result i.e., three heads or three tails, and loses otherwise. Calculate the probability that Hanif will lose the game.

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Text solutionVerified

Sample space

= {HHH, HH T, H T H, H TT, T HH, T H T, TT H, TTT}

Outcomes when he does not choose

3

heads or

3

tails

= {HH T, H T H, H TT, T HH, T H T, TT H}

Probability of losing

= \frac{6}{8} = \frac{3}{4}

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Question Text	A game consists of tossing a one rupee coin $3$ times and noting its outcome each time. Hanif wins if all the tosses give the same result i.e., three heads or three tails, and loses otherwise. Calculate the probability that Hanif will lose the game.
Answer Type	Text solution:1
Upvotes	150

A game consists of tossing a one rupee coin 3 times and noting its outcome each time. Hanif wins if all the tosses give the same result i.e., three heads or three tails, and loses otherwise. Calculate the probability that Hanif will lose the game.

Text solutionVerified

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A game consists of tossing a one rupee coin $3$ times and noting its outcome each time. Hanif wins if all the tosses give the same result i.e., three heads or three tails, and loses otherwise. Calculate the probability that Hanif will lose the game.