Find the probability of drawing a Diamond card on the first draw, replacing it and drawing a face card on the second draw.

Answer 1

A = drawing a diamond card

B = drawing a face card

The word "replacing" means putting a card back in the standard deck. In this case, the two events are independent.

P(A) = 13/52 = 1/4

P(B) = 12/52 = 3/13

P(A)*P(B) = (1/4)(3/13) = 3/52 = 0.0577

The probability of drawing a diamond and then a face card after replacement is about 0.0577.