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Question

A card is drawn from a well-shuffled pack of $$52$$ cards. Find the probability of getting a non-ace?


Solution

Total number of cards $$= 52.$$

So the number of possible outcomes $$= 52.$$

Let E be the event of getting a non-ace card.

There will be $$48$$ non-ace cards.

Number of favourable outcomes $$= 48$$

$$P(E)=\dfrac{Number \,of \,favourable\, outcomes}{Number\, of\, possible\, outcomes}$$

$$P(E) = 48/52 = 24/26 = 12/13$$

Hence the probability of getting a non-ace card is $$12/13$$.


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