Choose the correct answer. While shuffling a pack of 52 playing c… - Vidyadip

MCQ

Choose the correct answer. 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
$\frac{29}{52}$
B
$\frac{1}{2}$
✓
$\frac{26}{51}$
D
$\frac{27}{51}$

✓

Answer

Correct option: C.

$\frac{26}{51}$

We know that out of 52 playing cards 26 are of red and 26 are of black colour.$\therefore$ P(both cards of differents colour)
$=\frac{26}{52}\times\frac{26}{51}+\frac{26}{52}\times\frac{26}{51}$
$=2\times\frac{26}{52}\times\frac{26}{51}=\frac{6}{51}$

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