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The king, queen, and jack of clubs are removed from a deck of $52$ playing cards and then well shuffled. Now one card is drawn at random from the remaining cards. From the following choices, the probability that the card is a king is:

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14

349

1732

1349

answer is B.

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Detailed Solution

It is given that, a card is drawn at random from

52

cards.
After removing

1

king,

1

queen and

1

one jack of clubs from

52

cards then the remaining cards left is

n (S) = 52 − 3

= 49

The number of king cards is,

n (K) = 3

.
Let

A

be the event, then the probability of the event can be calculated by,

P (A) = N u m b e r of favourable outcomes T o t a l number of outcomes

The probability that the card is a king is,

P (K) = n (K) n (S)

= 349

The probability is

349

.
Hence, option 4) is correct.

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