At the beginning of a game, two players each pick a card at random from a standard deck and hold it in his or her hand. Which multiplication expression can be used to find the probability that Kit picks a heart then Oscar picks a diamond?

thirteen fifty-seconds times thirteen fifty-seconds

thirteen fifty-seconds times thirteen fifty-firsts

thirteen fifty-seconds times twelve fifty-seconds

thirteen fifty-seconds times twelve fifty-firsts

Question

At the beginning of a game, two players each pick a card at random from a standard deck and hold it in his or her hand. Which multiplication expression can be used to find the probability that Kit picks a heart then Oscar picks a diamond?

 thirteen fifty-seconds times thirteen fifty-seconds

 thirteen fifty-seconds times thirteen fifty-firsts

 thirteen fifty-seconds times twelve fifty-seconds

 thirteen fifty-seconds times twelve fifty-firsts

anonymous · Answer

There are 13 hearts and 13 diamonds in a 52 card deck
So it would be 13/52 


If Kit has replaced the card he drew into the deck, he has a 13/52 chance to draw a diamond. 

If Kit  kept his card, then there are 51 more cards in the deck and the chance for a diamonds is 13/51.