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.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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