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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter0: Preparing For Algebra
Section0.11: Simple Probability And Odds
Problem 1E
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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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