NIMCET 2012 Question Paper with solutions

Question : 46 of 120

Marks: +1, -0

A problem in Mathematics is given to three students A, B and C whose chances of solving itare

1/2,1/3

and

1/4

, respectively. If they all try to solve the problem, what is the probability that the problem will be solved?

Solution:

∴ Required probability = 1 -

(1-1/2).(1-1/3).(1-1/4)

= 1 -

1/2 . 2/3 . 3/4

= 1 -

1/4

3/4

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