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MathematicsMathematics
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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  1. 23 June, 10:17
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    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
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