183k views
0 votes
What is the probability that from a normal 52 card deck, you randomly draw a 5, and then without replacement, you select a Queen of Hearts?

1 Answer

5 votes

Answer:

1 / 663

Explanation:

First, let's find the total number of ways you can pick 2 cards from the deck. This is 52 * 51 = 2652 because there are 52 cards available for your first pick, and after you pick one, you'll have 51 left for your second pick.

There are 4 5's (one for every suite) and only 1 Queen of Hearts in a deck of cards. Therefore, the total number of successful outcomes will be 4 * 1 = 4.

The probability of picking a 5 and then a Queen of Hearts is 4 / 2652 =

1 / 663. Hope this helps!

User Siegfried Gevatter
by
5.5k points