Question

Two cards are drawn from a deck of 52 cards. What is the probability that the first card

drawn is a king and the second card drawn is a heart, given that the first card is
replaced? (Hint: A deck has 4 kings and 13 hearts)

Answer 1

1) P(First card was a king) = 1/13 2.) 1/4

Explanation:

1) P(First card was a king) = n(King)/n(Total) = 4/52 = 1/13

2. P(Heart)13/52 = 1/4

Answer 2

1/52

Step by step explanation:

First, find the probability that the first card will be a King. Since there are 4 possible kings, and 52 cards, the probability is 4/52.

Then, find the probability that the second card will be a heart. "given that the first card is replaced" means that there are 13 possible hearts regardless of the suit of the first card. So 13/52 is the probability.

To find the probability of both occurrences, multiply them.

4/52 * 13/52 = 52/2704

52/2704 can be simplified to 1/52. So that is the probability that the first card will be a king and the second card will be a heart.