NCERT Class X Chapter 14: Probability Exercise 14.1 Question (10)

NCERT Class X Chapter 14: Probability Exercise 14.1 Question 10

Question:

A piggy bank contains hundred 50p coins, fifty Rs 1 coins, twenty Rs 2 coins and ten Rs 5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, what is the probability that the coin
(i) will be a 50 p coin ?
(ii) will not be a Rs 5 coin?

Given:

Number of 50p coins = 100
Number of Rs 1 coins = 50
Number of Rs 2 coins = 20
Number of Rs 5 coins = 10

To Find:

(i) Probability that the coin will be a 50p coin.
(ii) Probability that the coin will not be a Rs 5 coin.

Formula:

Probability = Number of favorable outcomes Total number of outcomes

Solution:

(i) Total number of coins = 100 + 50 + 20 + 10 = 180
Number of 50p coins = 100
Probability of getting a 50p coin = 100 180 = 5 9

(ii) Number of coins which are not Rs 5 coins = 180 - 10 = 170
Probability of not getting a Rs 5 coin = 170 180 = 17 18

Result:

(i) The probability that the coin will be a 50p coin is 5 9
(ii) The probability that the coin will not be a Rs 5 coin is 17 18

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