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A card is drawn from a well-shuffled deck of $52$ playing cards. The probability that the card will not be an ace is:

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713

913

113

1213

answer is D.

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Detailed Solution

Given that a card is drawn from a well-shuffled deck of

52

playing cards. We have to find the probability that the card will not be an ace
For an event E, probability is given by,

P E = Number of favourable outcomes n(E) Total number of outcomes n(S)

There are

4

ace cards in the deck of

52

cards.
So, n(S) = 52.
So, the number of cards that are not ace is n(E), 52-4=48.
Therefore, the probability that the randomly drawn card is an ace is,

P E = 4852 ⇒ P E = 1213

.
Thus, the probability of not getting an ace is

1213

.
Hence, correct option is 4.

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