Back to Understand conditional probability — Problem 3 · 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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A

Fluency Practice

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

1.

A survey of 200 people recorded coffee and tea drinking.

Drinks CoffeeNo CoffeeTotal
Drinks Tea403070
No Tea8050130
Total12080200

Compute P(CoffeeTea)P(\text{Coffee} \mid \text{Tea}). Express your answer as a fraction in lowest terms.