Question

A single card is drawn from an ordinary 52-card deck. Find the probability of getting a heart and a jack.

Answer 1

number of hearts in the deck is 13 number of jacks in the deck is 4 one of those jacks is a heart so the number of jacks in the deck that is not a heart is 3. 13 hearts plus 3 jacks makes a total of 16 cards that are either a heart or a jack. the probability of drawing a jack OR a heart on one draw of the cards is 16/52 ----- you said, however, what is the probability of drawing a jack AND a heart. there is only 1 jack of hearts in the deck, so the probability is 1/52 that you will get a heart and a jack on one draw of the cards. -----