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QuizMultiple Choice

Conditional Probability — Quiz

Question 3 • Integrated Math II CR SUSD (EX)

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?

Answer
A
1 over 56
B
3 over 28
C
1 over 64
D
3 over 32

Explanation

There are 3 cards with a 3 out of 8 cards, so the chance of drawing a 3 first is 3/8. After that card is removed, 7 cards remain, including both cards with a 2, so the chance of drawing a 2 next is 2/7. Multiply the chances: (3/8) × (2/7) = 3/28, which is choice C, 3 over 28.

AI-written and checked against the verified answer.

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