A steel plate contains 15 bolts. Assume that 4 bolts are not torqued to the proper limit. Six bolts are selected at random, without replacement, to be checked for torque. i. What is the probability that all six of the selected bolts are torqued to the proper limit? ii. What is the probability that at least one of the selected bolts is not torqued to the proper limit?

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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A steel plate contains 15 bolts. Assume that 4 bolts are not torqued to the proper limit. Six bolts are selected at random, without replacement, to be checked for torque.

i. What is the probability that all six of the selected bolts are torqued to the proper limit?

ii. What is the probability that at least one of the selected bolts is not torqued to the proper limit?

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