Two boxes each contain long and short bolts. Box 1 contains 60 long and 40 short bolts, while box 2 contains 10 long and 20 short bolts. One box is selected at random and one bolt is then chosen from the selected box. a. Find the probability the chosen bolt is long. b. Given that the chosen bolt was long, find the probability that box 1 was selected.

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 26E: Find the probability of each event. Getting 2 red eggs in a single scoop from a bucket containing 5...
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Two boxes each contain long and short bolts. Box 1 contains 60 long and 40 short bolts, while box 2 contains 10 long and 20 short bolts. One box is selected at random and one bolt is then chosen from the selected box. a. Find the probability the chosen bolt is long. b. Given that the chosen bolt was long, find the probability that box 1 was selected.
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