NCERT Class X Chapter 14: Probability Exercise 14.1 Question (23)

NCERT Class X Chapter 14: Probability Exercise 14.1 Question 23

Question:

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.

Given:

A coin is tossed 3 times. Hanif wins if all tosses are heads or all are tails. He loses otherwise.

To Find:

The probability that Hanif will lose the game.

Formula:

Probability = Favorable Outcomes Total Outcomes

Solution:

Total possible outcomes when a coin is tossed 3 times = 23 = 8

Outcomes where Hanif wins (all heads or all tails) = 2

Outcomes where Hanif loses = Total outcomes - Outcomes where Hanif wins = 8 - 2 = 6

Probability that Hanif will lose = 6 8 = 3 4

Result:

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

© Kaliyuga Ekalavya. All rights reserved.

Comments

Post a Comment