A problem in Mathematics is given to three students Dayanand, Ramesh and Naresh and whose cances of solving it are respectively, what is the prob ability that the problem will be solved? - Wired Faculty

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A problem in Mathematics is given to three students Dayanand, Ramesh and Naresh and whose cances of solving it are $1 half comma space 1 third comma space 1 fourth$ respectively, what is the probability that the problem will be solved?

Solution

The probabilities of Dayanand, Ramesh and Naresh solving the problem are

1 half comma space 1 third comma space 1 fourth

respectively.
∴ the probabilities of Dayanand, Ramesh and Naresh not solving the problems are

1 minus 1 half space equals 1 half comma space space 1 minus 1 third space equals 2 over 3 comma space space 1 minus 1 fourth space equals 3 over 4

respectively.
∴ the probability that the problem is not solved by any one of them

1 half cross times 2 over 3 cross times 3 over 4 space equals 1 fourth.

∴ the probability that the problem will be solved by at least one of them

equals space 1 minus 1 fourth space equals 3 over 4.

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Probability

A problem in Mathematics is given to three students Dayanand, Ramesh and Naresh and whose cances of solving it are $1 half comma space 1 third comma space 1 fourth$ respectively, what is the probability that the problem will be solved?

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Probability

A problem in Mathematics is given to three students Dayanand, Ramesh and Naresh and whose cances of solving it are respectively, what is the probability that the problem will be solved?

Some More Questions From Probability Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

A problem in Mathematics is given to three students Dayanand, Ramesh and Naresh and whose cances of solving it are $1 half comma space 1 third comma space 1 fourth$ respectively, what is the probability that the problem will be solved?