Two cards are selected from a standard deck of 52 playing cards. The first card is not replaced before the second card is selected. Find the probability of selecting a three and then selecting a five

Answer 1

There are 4 threes in the deck so the probability of selecting a three is 4/52.

Then, for the second draw, there are 4 fives as well but, since you already selected a card and didn't replace it, there are now only 51 cards in the deck so the probability of selecting a five is 4/51

The probability of both events happening is the product of the two individual probabilities so 4/52 * 4/51 = 16/2652 = 4/663 = 0.6% (Don't bet on this happening)