Q3: If the probability that student (A) will solve a particular problem is (0.8), the probability that student (B) will solve the same problem is (0.7), and the probability that student (C) can solve it is (0.5), then if each of the three students tries to solve the problem individually : a) What is the probability that only student (A) will solve the problem? b) What is the probability that the three students will solve the problem? c) What is the probability that the problem will be solved?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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Q3: If the probability that student (A) will solve a particular problem is (0.8), the probability that
student (B) will solve the same problem is (0.7), and the probability that student (C) can solve it is
(0.5), then if each of the three students tries to solve the problem individually :
a) What is the probability that only student (A) will solve the problem?
b)
What is the probability that the three students will solve the problem?
c)
What is the probability that the problem will be solved?
d)
What is the probability that the problem will not be solved?
e) What is the probability that one of the three students will solve the problem?
Transcribed Image Text:Q3: If the probability that student (A) will solve a particular problem is (0.8), the probability that student (B) will solve the same problem is (0.7), and the probability that student (C) can solve it is (0.5), then if each of the three students tries to solve the problem individually : a) What is the probability that only student (A) will solve the problem? b) What is the probability that the three students will solve the problem? c) What is the probability that the problem will be solved? d) What is the probability that the problem will not be solved? e) What is the probability that one of the three students will solve the problem?
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