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Back to Understand conditional probability — Problem 2 · Task Set 20

Exercises: Understand the Conditional Probability of A Given B as P(A and B)/P(B)

Work through each section in order. Show your reasoning where indicated. For explanation problems, write in complete sentences. Express probabilities as fractions in lowest terms or as decimals where requested.

Grade 10·20 problems·~35 min·Common Core Math - HS Statistics and Probability·group·hss-cp-a-3
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Fluency Practice

Compute each conditional probability. Two-way tables give counts.

1.

For events AA and BB, P(A)=0.6P(A) = 0.6, P(B)=0.5P(B) = 0.5, and P(A and B)=0.2P(A \text{ and } B) = 0.2. Compute P(B∣A)P(B \mid A). Express your answer as a decimal.