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Probability
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02/07/2021 11:51 am
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A piggy bank contains hundred 50p coins, fifty Rs 1 coins, twenty Rs 2 coins and ten Rs 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 Rs 5 coin?
1 Answer
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02/07/2021 11:53 am
Total no. of coins = 100 + 50 + 20 + 10 = 180
P(E) = (Number of favourable outcomes/ Total number of outcomes)
(i) Total number of 50 p coin = 100
P (50 p coin) = 100/180
= 5/9 = 0.55
(ii) Total number of Rs 5 coin = 10
P (Rs 5 coin) = 10/180
= 1/18 = 0.055
∴ P (not Rs 5 coin) = 1 - P (Rs 5 coin)
= 1 - 0.055 = 0.945