Mathematics | VITEEE 2016 | Discussion Page

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

A) $\frac{29}{52}$

B) $\frac{1}{2}$

C) $\frac{26}{51}$

D) $\frac{27}{51}$

Option C

There are 26 red cards and 26 black cards

i.e, total number of cards =52

P(both cards of different colours)

= P(B)P(R)+P(R)P(B)

= $\frac{26}{52}\times\frac{26}{51}+\frac{26}{52}\times\frac{26}{51}=2\left(\frac{26}{52}\times\frac{26}{51}\right)=\frac{26}{51}$

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