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Question: Two cards are drawn one by one at random from a pack of 52 cards. The probability that both of them ...

Two cards are drawn one by one at random from a pack of 52 cards. The probability that both of them are king, is

A

213\frac { 2 } { 13 }

B

1169\frac { 1 } { 169 }

C

1221\frac { 1 } { 221 }

D

30221\frac { 30 } { 221 }

Answer

1221\frac { 1 } { 221 }

Explanation

Solution

Probability of first card to be a king=452= \frac { 4 } { 52 }

and probability of also second to be a king =351= \frac { 3 } { 51 }

Hence required probability =452×351=1221= \frac { 4 } { 52 } \times \frac { 3 } { 51 } = \frac { 1 } { 221 }.