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One card is drawn from a well-shuffled deck of 52 cards. Calculate the probability that the card will(i) be an ace,(ii) not be an ace. |
Answer» Well-shuffling ensures equally likely outcomes. (i) There are 4 aces in a deck. Let E be the event ‘the card is an ace’. The number of outcomes favourable to E = 4 The number of possible outcomes = 52 Therefore, P(E) = 4/52 = 1/13 (ii) Let F be the event ‘card drawn is not an ace’. The number of outcomes favourable to the event F = 52 – 4 = 48 The number of possible outcomes = 52 Therefore, P(E)=48/52=12/13 |
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