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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 be a ₹1 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 E1 be the event of getting a ₹1 coin.
Number of favourable outcomes = 70.
∴ P(getting a ₹1 coin) = P(E1) = `("Number of outcomes favourable to" E_1)/"Number of all possible outcomes"`
`= 70/250 = 7/25`
Thus, the probability that the coin will be a ₹1 coin is `7/25`.
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