Question

You draw two cards without replacement from a standard deck of 52 cards. What is the

probability of drawing a six then a seven?

Answer 1

Answer: 4/663

Explanation:

There are 4 6s and 4 7s, so the probability of getting a 6 on the first draw is 4/52 or 1/13. After the first draw there are 51 cards remaining (given your no replacement assumption), and there are 4 7s, so the probability of getting a 7 is 4/51.

The overall probability is

1/13 x 4/51 = 4 / 663