Question

Determine whether the events are independent or dependent. Then find the probability.

Two cards are selected at random one after the other from a standard deck without replacement. What is the probability that both cards are aces?

Answer 1

Answer: Dependent; 1/221

Explanation:

The event is dependent because there is no replacement, which in turn changes the probability of the next event happening.

A standard deck of cards has 52 cards. There are 4 aces in the deck.

4/52

Assuming you pick an ace, there will be 51 cards in the deck and 3 aces.

3/51

Multiply the probabilities together to find the probability of both events