Question

You have a standard deck of 52 cards. you pick one card and then, with out putting the first card back, you pick a second card. what is the probability that both cards will be 9s?

Answer 1

First, find the probability of picking one 9. There are four nines in a deck of 52, so the probability is 4/52, which is 1/13.

The probability of picking a 9 the second time is 1/17, because if a 9 was picked the first time, then there are three 9s left and 51 cards left in total.

To find the probability of both events happening, multiply the individual probabilities together:

(1/13)(1/17)

 The probability that both cards picked will be 9s is 1/221.