Question

Red Heart = 13
Red Diamond = 13
Black Spade = 13
Black Club = 13

Find the probability of drawing a Club 3 through 10 on the first draw, replacing it and drawing a face card on the second draw​

Answer 1

Answer:

There are 26 red cards in a deck of 52, so the first draw has a probability of 26/52, or 1/2. Since the card is replaced, the deck has 52 cards again. There are 13 hearts in a deck, so the probability is 13/52, or 1/4. The two events are independent, so the combined probability is 1/2 times 1/4, or 1/8.

Step-by-step explanation:

There are 6 red face cards in a deck of 52, so 6/52

There are 13 hearts in a deck of 52, so 13/52

6/52*13/52=(2*3*13)/(2*2*13*2*2*13)

Factor out 2*13 and you get 3/(2*2*2*13)=3/104