Question

Consider an example of a deck of 52 cards: what is the probability of drawing three queens from a standard deck of cards, given that the first card drawn was a queen? assume that the cards are not replaced.

Answer 1

The answer that you seek is 1/425

Explanation:

The first guy is RIGHT, he just forgot a part of the question that says that the cards are not REPLACED.

So:

We've already gotten one queen down, 2 more to go.

The probability of a queen on the second draw is 3/51 since there are 3 cards we want out of 51 total.

Then the probability of another queen after that is 2/50 since there are 2 queens left and 50 cards total

Multiplying those fractions gives us :

(3/51)*(2/50) = 6/2550 = 1/425

Answer 2

To find the probability of drawing a queen three times, you will find the probability of drawing a queen in each of the three trials and multiply them together.

1st: 4/52
2nd: 3/51
3rd: 2/50

4/52 x 3/51 x 2/50 = 24/132600
24/132600=1/5525

There is a 1/5225 chance of getting 3 queens.