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

Answer:

Option A is correct.

Step-by-step explanation:

Probability of getting a club = $\frac{13}{52}=\frac{1}{4}$

Probability of getting a heart = Probability of getting a club = $\frac{1}{4}$

So, Probability of not getting a heart = $1-\frac{1}{4}=\frac{3}{4}$

⇒ Probability of getting first card a club and second not heart = $\frac{1}{4}\times\frac{3}{4}$

                                                                                                        = $\frac{3}{16}$

Therefore, Option A is correct.

Answer 2

Answer:

3/16 apex

Step-by-step explanation: