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in Mathematics by (36.3k points)

The Probabilities of solving a problem by three students are 1/2,1/3,1/4. Find the probability that the problem will be solved.

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Best answer

From the equation,

P(E1) = 1/2, P(E2) = 1/3, P(E3) = 1/4

P(bar E1) = 1/2, P(bar E2) = 2/3, P(bar E3) = 3/4

∴ P (not solving the Problem)

= 1/2 x 2/3 x 3/4 = 1/4

P (solving the Problem)

= 1 - (1/4) = 3/4

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