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Question

Question: Two cards are drawn at random from a pack of 52 cards. The probability that both are the cards of sp...

Two cards are drawn at random from a pack of 52 cards. The probability that both are the cards of spade is

A

126\frac { 1 } { 26 }

B

14\frac { 1 } { 4 }

C

117\frac { 1 } { 17 }

D

None of these

Answer

117\frac { 1 } { 17 }

Explanation

Solution

Required probability =13C252C2=13.1252.51=117= \frac { { } ^ { 13 } C _ { 2 } } { { } ^ { 52 } C _ { 2 } } = \frac { 13.12 } { 52.51 } = \frac { 1 } { 17 }.