Two cards were drawn, without replacement, from a pack of 52 cards. What is the probability that they are both Kings or both Queens ?


closed as off-topic by Did, Davide Giraudo, Jack's wasted life, iadvd, user223391 Oct 29 '16 at 5:37

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    $\begingroup$ What is the probability that the first card is a king ? $\endgroup$ – callculus Oct 25 '16 at 16:25

Probability that both are kings (or) both are queen's = Both are kings + Both are Queen's

Probability that first drawn Card is a king $= \frac{4}{52}$ and card is not replaced then, probability of second card being king $= \frac{3}{51}$

P(both are kings) $=\frac{4}{52}*\frac{3}{51}$,Similarly P(both are queens) $ = \frac{4}{52}*\frac{3}{51}$

So required probability $= \frac{4}{52}*\frac{3}{51} +\frac{4}{52}*\frac{3}{51} = 2*\frac{4}{52}*\frac{3}{51} = \frac{2}{221}$


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