Suppose that a certain product is made in two factories: one in Ohio and one in Indiana. A single product is selected at random. The probabilities of the origin of this product and also whether or not the product is defective are shown in the probability tree below. Let A be the event that the product you choose is made in Ohio and let B be the event that the product you choose is defective. Ohio 0.45 Indiana 0.55 Defective 0.02 Good 0.98 0.96 Find P(BC). Write your answer as a decimal rounded to 3 decimal places. Defective 0.04 Good

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Suppose that a certain product is made in two factories: one in Ohio and one in Indiana. A single
product is selected at random. The probabilities of the origin of this product and also whether or
not the product is defective are shown in the probability tree below. Let A be the event that the
product you choose is made in Ohio and let B be the event that the product you choose is
defective.
Ohio
0.45
Indiana
0.55
Defective
0.02
Good
0.98
Defective
0.04
Good
0.96
Find P(BC). Write your answer as a decimal rounded to 3 decimal places.
Transcribed Image Text:Suppose that a certain product is made in two factories: one in Ohio and one in Indiana. A single product is selected at random. The probabilities of the origin of this product and also whether or not the product is defective are shown in the probability tree below. Let A be the event that the product you choose is made in Ohio and let B be the event that the product you choose is defective. Ohio 0.45 Indiana 0.55 Defective 0.02 Good 0.98 Defective 0.04 Good 0.96 Find P(BC). Write your answer as a decimal rounded to 3 decimal places.
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