Question

Marcos is doing a card trick using a standard 52-card deck with four suits: hearts, diamonds, spades, and clubs. He shows his friend a card, replaces it, and then shows his friend another card. What is the probability that the first card is a club and the second card is not a heart?

A. 3/16
B. 1/2
C. 1/8
D. 5/8

Answer 1

3/16 apex

Explanation:

Answer 2

Option A is correct.

Explanation:

Probability of getting a club =
`(13)/(52)=(1)/(4)`

Probability of getting a heart = Probability of getting a club =
`(1)/(4)`

So, Probability of not getting a heart =
`1-(1)/(4)=(3)/(4)`

⇒ Probability of getting first card a club and second not heart =
`(1)/(4)*(3)/(4)`

=
`(3)/(16)`

Therefore, Option A is correct.