Three students work independently on a homework problem. The probability that the first student solves the problem is 0.95. The probability that the second student solves the problem is 0.85. The probability that the third student solves the problem is 0.80. What is the probability that all are able to solve the problem

Question

Mathematics

Marlie Meza

23 June, 08:49

Three students work independently on a homework problem. The probability that the first student solves the problem is 0.95. The probability that the second student solves the problem is 0.85. The probability that the third student solves the problem is 0.80. What is the probability that all are able to solve the problem

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Answers (1)

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Francisco Bernard · Answer 1

64.60% probability that all are able to solve the problem

Step-by-step explanation:

We have these following probabilities:

A 95% probability that the first student solves the problem.

An 85% probability that the second student solves the problem.

An 80% probability that the third student solves the problem.

What is the probability that all are able to solve the problem

The probabilities are independent, so we can just multiply them

0.95*0.85*0.8 = 0.646

64.60% probability that all are able to solve the problem