# 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

**Solution:**

We use the basic formula of favorable outcomes to solve the problem.

Total possible outcomes are ={HHH, TTT, HTH, HHT, THH, THT, TTH, HTT} = 8

Number of possible outcomes to get three heads or three tails is 2

The probability that Hanif will win the game = Number of possible outcomes/Total number of favourable outcomes

= 2/8

= 1/4

The probability that Hanif will lose the game is 1 - 1/4

= 3/4

The probability that Hanif will lose the game is 3/4.

Check out more about terms of probability.

**ā Check: **NCERT Solutions Class 10 Maths Chapter 15

**Video Solution:**

## 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

NCERT Solutions for Class 10 Maths Chapter 15 Exercise 15.1 Question 23

**Summary:**

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. The probability that Hanif will lose the game is 3/4.

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