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2. The die is rolled five times. a. Find the probability of three 6's occurring. b. Find the probability of at least one 6 being rolled.

2. The die is rolled five times. a. Find the probability of three 6's occurring. b. Find the probability of at least one 6 being rolled.

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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2. The die is rolled five times. a. Find the probability of three 6's occurring. b. Find the probability of at least one 6 being rolled.
Transcribed Image Text:2. The die is rolled five times. a. Find the probability of three 6's occurring. b. Find the probability of at least one 6 being rolled.
1. a. Two fair dice are rolled at once. Let X denote the difference in the number of dots that appear on the top faces of the two dice (positive differences only). Thus, for example if a one and a five are rolled, X = 4, and if two sixes are rolled, X = 0. Calculate and graph the probability distribution. X
Transcribed Image Text:1. a. Two fair dice are rolled at once. Let X denote the difference in the number of dots that appear on the top faces of the two dice (positive differences only). Thus, for example if a one and a five are rolled, X = 4, and if two sixes are rolled, X = 0. Calculate and graph the probability distribution. X
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