Question

An example of statistics is given to three
students A, B and C. Their probabilities of
solving the example correctly are respectively
1/2, 34, 1/4, the probability that the example
will be solved is
(a) 20/32
(b) 2732
(c) 2832
(d) 29/32​

Answer 1

Probability that A is able to solve = P(A) = (1 / 2).

Probability that B is able to solve = P(B) = (3 / 4).

Probability that C is able to solve = P(C) = (1 / 4).

Probability that A is not able to solve = P(a) = 1 - P(A) = (1 / 2).

Probability that B is not able to solve = P(b) = (1 / 4).

Probability that C is not able to solve = P(c) = (3 / 4).

When A, B and C are independent events; the probability that none of them will be able to solve if all of them try independently = P(a)*P(b)*P(c) = (1 / 2)*(1 / 4)*(3 / 4) = (3 / 32).

Therefore, the probability that the problem will be solved if all of them try independently = 1 - P(a)*P(b)*P(c) = (29 / 32).

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