# A piggy bank contains hundred 50 p coins, fifty Rs 1 coins, twenty Rs 2 coins and ten Rs 5 coins - Mathematics

A piggy bank contains hundred 50 p 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?

#### Solution

Total number of coins in a piggy bank = 100 + 50 + 20 + 10

= 180

(1) Number of 50 p coins = 100

Probability of getting a 50 p coin = "Number of favorable outcomes"/"Total number of outcomes"

= 100/180 =  5/9

(2) Number of Rs 5 coins = 10

Probability of getting a Rs 5 coin = "Number of favorable outcomes"/"Total number of outcomes"

=10/180 = 1/18

Probability of not getting a Rs 5 coin  = 1 - 1/18

=17/18

Concept: Probability - A Theoretical Approach
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#### APPEARS IN

NCERT Class 10 Maths
Chapter 15 Probability
Exercise 15.1 | Q 10 | Page 309