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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 50 p or a ₹2 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 E3 be the event of getting a 50 p or a ₹2 coin.
Number of favourable outcomes = 100 + 50 = 150
∴ P(getting a 50 p or a ₹2 coin) = P(E3) = `("Number of outcomes favourable to" E_3)/"Number of all possible outcomes"`
`= 150/250 = 3/5`
Thus, the probability that the coin will be a 50 p or a ₹2 coin is `3/5`.
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