Question

If Tim draws two cards at random from a standard deck of cards without replacement, which expression represents the probability that Tim draws two aces?

1. 4/52 * 4/52
2. 4/52 * 4/51
3. 4/52 * 3/51
4. 4/52 * 3/52

Answer 1

Answer: B) 4/52 * 3/51

Explanation:

the probability of drawing the first ace is 4/52 bc there are 4 aces and 52 cards. the probability of drawing the second ace is 3/51 bc there are now three aces ( bc we removed one in the first step) and there are now 51 cards (bc we removed a card in the first step and there is no replacement). combine the probabilities with multiplication because it’s a multistage event