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?
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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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