Question

You draw 2 cards from a well-shuffled deck of 52 cards. After you draw the first card, you do not replace it in the deck. What is the probability of P(get ace of spades on first draw and get queen of hearts on second draw)?

Answer 1

What are the odds of getting the ace of spades on the first draw?

Answer 2

4/52?

Answer 3

How many ace of spades are in a deck?

Answer 4

1/52?

Answer 5

Correct.

Answer 6

Now, after you draw the first card, how many cards are left in the deck?

Answer 7

51

Answer 8

And what are the odds of drawing the queen of hearts from that pool of 51 cards?

Answer 9

1/51

Answer 10

Correct.

Now, for two related events A and B:

\[P(\text{A AND B}) = P(A) \times P(B)\]

Answer 11

So the probability will be?

Answer 12

1/2652?

Answer 13

Correct. Or .03%