Question

A piggy bank contains hundred 50 P coins, fifty ₹ 1 coins, twenty ₹ 2 coins and ten ₹ 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 ₹ 5 coin ?

Answer 1

Total number of coins = 100 + 50 + 20 + 10 = 180

Total number of possible outcomes = 180

(i) Number of 50 paise coins = 100

Number of favourable outcomes = 100

∴ P(50 paise coins) = 100/180 = 5/9

(ii) Number of coins other than

₹ 5 coins = 100 + 50 + 20 = 170

Number of favourable outcomes = 170

P (will not be a ₹ 5 coins) = 170/180 = 17/18