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.

Open in App

Solution

The outcomes associated with the experiment in which a coin is tossed thrice:
HHH, HHT, HTH, THH, TTH, HTT, THT, TTT
Therefore, total number of outcomes = 8
Number of favourable outcomes (for Hanif to lose the match) = 6
Hence, required probability = $\frac{6}{8} = \frac{3}{4}$

Suggest Corrections

Similar questions

Q. 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.

Two dice are rolled once. Find the probability of getting such numbers on two dice, whose product is a perfect square.

A game consists of tossing a coin 3 times and noting its outcomes each time. Hanif wins if he gets three heads or three tails, and loses otherwise. Calculate the probability that Hanif will lose the game.

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

Q. A game consists of tossing a coin

3

times and nothing its outcome. A boy wins if all tosses give the same outcome and loses otherwise. Find the probability that the boy loses the game.

Q. A game consists of tossing a ₹5 coin twice and noting down its outcomes. Jesika wins if she gets exactly one head. What is the probability that she will lose the game?

Join BYJU'S Learning Program

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.

The outcomes associated with the experiment in which a coin is tossed thrice: HHH, HHT, HTH, THH, TTH, HTT, THT, TTT Therefore, total number of outcomes = 8 Number of favourable outcomes (for Hanif to lose the match) = 6 Hence, required probability = 68=34

The outcomes associated with the experiment in which a coin is tossed thrice:
HHH, HHT, HTH, THH, TTH, HTT, THT, TTT
Therefore, total number of outcomes = 8
Number of favourable outcomes (for Hanif to lose the match) = 6
Hence, required probability = $\frac{6}{8} = \frac{3}{4}$