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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?

A3/16
B1/2
C1/8
D5/8

Verified Answer :

Answer:

3/16 apex

Step-by-step explanation:

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.

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