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  • While shuffling a pack of 52 playing cards, 2 are accidentally dropped. Find the probability that the missing cards to be of A. 29/52 B. 1/2 C. 26/51 D. 27/51

While shuffling a pack of 52 playing cards, 2 are accidentally dropped. Find the probability that the missing cards to be of different colours

A. 29/52
B. 1/2
C. 26/51
D. 27/51

Answers (1)

There are 26 red cards & 26 black cards in a pack of 52 cards.

Now,

2 cards are accidently dropped            …….. (given)

Thus,

Probability of dropping a red card first = 26 /52

& probability of dropping a red card second = 26 / 51

…….. (since one card is already dropped, we are left with 51 cards)

Now,

 Probability of dropping a black card first = 26 /52

Probability of dropping a black card second= 26 /51

Thus,

P (both cards are of diff colour) = 26/52 x 26/51 + 26/52 + 26/51

                                                = 2 x 26/52 x 26/51

                                                = 26 /51

Thus, option C is the correct answer.

Posted by

infoexpert22

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