4
QuizMultiple Choice

Conditional Probability

Question 4 • TN-Algebra II B SC 26-27 (For Credit)

Lola pulls two marbles from a bag containing four red marbles, four blue marbles, and 12 yellow marbles without replacing them.What is the probability that she pulled out a red marble first and a yellow marble second? Express your answer in decimal form, rounded to the nearest hundredth.

Answer
A
0.09
B
0.13
C
0.25
D
0.32

Explanation

There are 20 marbles total, so the probability of drawing a red marble first is 4/20. Since the marble is not replaced, 19 marbles remain, including all 12 yellow marbles; the probability of yellow second is 12/19. Multiply: (4/20)(12/19) = 0.1263..., which rounds to 0.13, choice B.

AI-written and checked against the verified answer.

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