Question

A card is drawn from a standard deck, put aside, and then another card is drawn. What is the probability that the first card is a king and that the second card is a queen?

FRACTION FORM

Answer 1

1/13

Explanation:

once you simplify and finish that is the simplified answer

Answer 2

4/663

Explanation:

Since the first card is set aside after being drawn, this is dependent probability.
There are 4 kings in 1 deck of 52 cards.
Therefore the probability of choosing a king is 4/52 = 1/13.

But after choosing 1 card from the deck, there are now 51 cards in the deck. There are 4 queens in the deck of 51 cards. Therefore the probability of choosing a queen is 4/51.

To determine the probability of choosing both, multiply the 2 probabilities.

`(1)/(13) * (4)/(51) = (4)/(663)`