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Question
A piggy bank contains hundred 50 p coins, seventy ₹1 coin, fifty ₹2 coins and thirty ₹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 will not be a ₹5 coin?
Solution
Number of 50 p coins = 100.
Number of ₹1 coins = 70.
Number of ₹2 coins = 50.
Number of ₹5 coins = 30.
Thus, total number of outcomes = 250.
Let E2 be the event of not getting a ₹5 coin.
Number of favourable outcomes = 250 − 30 = 220
∴ P(not getting a ₹5 coin) = P(E2) = `("Number of outcomes favourable to" E_2)/"Number of all possible outcomes"`
`= 220/250 = 22/25`
Thus, the probability that the coin will not be a ₹5 coin is `22/25`.
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