Two cards are drawn without replacement from a pack of 52 cards. Find the probability that both are kings the first is a king and the second is an ace the first is a heart and second is red.

Explanation

A= in 1st draw A king


B= in 2nd draw An ace


`P(A)=frac{4}{52}=frac{1}{13} `


`P(B / A)=frac{4}{51}=frac{4}{51} `


`therefore P(A cap B) `


`=P(A) times P(B / A) `


`=frac{1}{13} times frac{14}{51} `


`=frac{4}{663}`