A store only sells two types of products: type A and type B. If a customer only buys product A, the probability that he will also buy product B, if offered, is 0.35; On the other hand, it is known that each client that arrives has a probability that he will buy a product A is 0.75, while the probability that he will buy a product B is 0.65. Find the probability that a customer who buys only product B will purchase product A if offered.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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A store only sells two types of products: type A and type B. If a customer only
buys product A, the probability that he will also buy product B, if offered, is 0.35;
On the other hand, it is known that each client that arrives has a probability that
he will buy a product A is 0.75, while the probability that he will buy a product B
is 0.65. Find the probability that a customer who buys only product B will
purchase product A if offered.
Transcribed Image Text:A store only sells two types of products: type A and type B. If a customer only buys product A, the probability that he will also buy product B, if offered, is 0.35; On the other hand, it is known that each client that arrives has a probability that he will buy a product A is 0.75, while the probability that he will buy a product B is 0.65. Find the probability that a customer who buys only product B will purchase product A if offered.
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