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

Respuesta :

Answer:

3/16 apex

Step-by-step explanation:

Answer:

Option A is correct.

Step-by-step explanation:

Probability of getting a club = [tex]\frac{13}{52}=\frac{1}{4}[/tex]

Probability of getting a heart = Probability of getting a club = [tex]\frac{1}{4}[/tex]

So, Probability of not getting a heart = [tex]1-\frac{1}{4}=\frac{3}{4}[/tex]

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

                                                                                                        = [tex]\frac{3}{16}[/tex]

Therefore, Option A is correct.

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