Two cards are drawn without replacement from an ordinary dec

Two cards are drawn without replacement from an ordinary deck. Find the probability that the second card is a face card, given that the first is a jack. The probability is ____. (Simplify your answer. Type an integer or a simplified fraction.)

Solution

probability that a card is jack = 4/52 = 1/13

probability that first card is jack and second card is face card

= 1/13 * 11/51

Probability that second card is face card given the first is jack

= (1/13 * 11/51 )/ 1/13

= 11/51