Question

Two cards are selected from a standard deck. the first card is replaced before the second is drawn. find the probability of selecting an ace and then selecting a number 10.

Answer 1

1/169 Since we're drawing with replacement, we can consider the probabilities in isolation. So the probability of selecting an ace from a deck of 52 cards is 4/52 = 1/13. Then the probability of selecting a 10 is also 4/52 = 1/13. So the probability of performing both actions becomes (1/13) * (1/13) = 1/169.