Question

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 Select the correct answer from above options

Answer 1

We know that, in a pack of 52 cards 26 are of red colour and 26 are of black colour. It is given that 2 cards are accidentally dropped [Here, we take 51 because already one card is dropped. So, we left with 51 cards] Similarly, Probability of dropping a black card first = 26/52 Probability of dropping a black card second = 26/51 ∴ P(both cards of different colour) Hence, the correct option is (C).