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?

Answer 1

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`.