Q1: A craftsman has three identical boxes, each with two identical drawers. In the first box, one drawer contains 6 flange nuts, and the other drawer contains 5 hex bolts. In the second box, one drawer contains 4 flange nuts, and the other drawer contains 6 hex bolts. In the third box, one drawer contains 7 flange nuts, and the other drawer contains 4 hex bolts. 1. If he selects a box at random, opens a drawer at random, and finds a flange nut. What is the probability that box I was selected? 2. If he selects a box at random, opens a drawer at random, and finds a hex bolt. What is the probability that box III was selected?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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Q1: A craftsman has three identical boxes, each with two identical drawers. In the first box,
one drawer contains 6 flange nuts, and the other drawer contains 5 hex bolts. In the second
box, one drawer contains 4 flange nuts, and the other drawer contains 6 hex bolts. In the
third box, one drawer contains 7 flange nuts, and the other drawer contains 4 hex bolts.
1. If he selects a box at random, opens a drawer at random, and finds a flange nut. What is
the probability that box I was selected?
2. If he selects a box at random, opens a drawer at random, and finds a hex bolt. What is the
probability that box III was selected?
Transcribed Image Text:Q1: A craftsman has three identical boxes, each with two identical drawers. In the first box, one drawer contains 6 flange nuts, and the other drawer contains 5 hex bolts. In the second box, one drawer contains 4 flange nuts, and the other drawer contains 6 hex bolts. In the third box, one drawer contains 7 flange nuts, and the other drawer contains 4 hex bolts. 1. If he selects a box at random, opens a drawer at random, and finds a flange nut. What is the probability that box I was selected? 2. If he selects a box at random, opens a drawer at random, and finds a hex bolt. What is the probability that box III was selected?
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