e numbered 1, 2,  and 3. Three black cards are numbered 4,  5,  and 6. The cards are placed in a box and one card is selected at random. Find the probability that a black card was selected given that the number on the card was an even number. Write your

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 20E: If the spinner shown below is spun, find the probability of each event. Assume that the spinner...
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Three red cards are numbered 1, 2,  and 3. Three black cards are numbered 45,  and 6. The cards are placed in a box and one card is selected at random. Find the probability that a black card was selected given that the number on the card was an even number. Write your answer in exact simplified form.

Expert Solution
Step 1

Given:

n(red) = 3 (1,2,3)

n(black) = 3 (4,5,6)

n(drawn) = 1

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