Question

Three cards are drawn with replacement from a standard deck. what is the probability that the first card will be a diamond, the second card will be a black card, and the third card will be an ace? express your answer as a fraction or a decimal number rounded to four decimal places.

Answer 1

there are 13 diamonds per deck

26 black cards

4 aces

so a 13/52 chance for a diamond

a 26/52, reduced to 1/2 chance for a black card

and a 4/52 chance for an ace

13/52 x 1/2 x 4/52 = 52/5408 = 1/104 probability