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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 different colours

A. 29/52

B. 1/2

C. 26/51

D. 27/51

1 Answer

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Best answer

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).

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