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lilavasa [31]
2 years ago
9

Hiro has a stack of cards with one number from the set 1, 1, 2, 2, 3, 3, 3, 4 written on each card. What is the probability that

he pulls out a 3 first and then pulls out a 2 without replacing them?
a. 1/64
b. 1/56
c. 3/32
d. 3/28
Mathematics
1 answer:
professor190 [17]2 years ago
7 0

Answer:

Therefore, the probability is P=3/32.

Step-by-step explanation:

We know that Hiro has a stack of cards with one number from the set 1, 1, 2, 2, 3, 3, 3, 4 written on each card.  

We calculate the probability that he pulls out a 3 first and then pulls out a 2 without replacing them.

The probability that he pulls out a 3 first is 3/8.

The probability of a second card being 2 is 2/8.

We get:

P=\frac{3}{8}\cdot \frac{2}{8}\\\\P=\frac{6}{64}\\\\P=\frac{3}{32}

Therefore, the probability is P=3/32.

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