SOLUTION: Two cards are drawn from a deck of cards. Find the probability that both are queens.

Algebra ->  Probability-and-statistics -> SOLUTION: Two cards are drawn from a deck of cards. Find the probability that both are queens.       Log On


   

Question 1120440: Two cards are drawn from a deck of cards. Find the probability that both are queens.
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


A couple of different elementary ways to get the answer... you should become familiar with both of them.

(1) The number of ways of drawing 2 of the 4 queens, divided by the number of ways of drawing any 2 cards:

C%284%2C2%29%2FC%2852%2C2%29+=+6%2F1326+=+1%2F221

(2) The probability that the first is a queen, multiplied by the probability that the second is also a queen:

%284%2F52%29%2A%283%2F51%29+=+%281%2F13%29%2A%281%2F17%29+=+1%2F221