NIMCET 2020 Question Paper with solutions

Question : 9 of 120

Marks: +1, -0

A problem in Mathematics is given to 3 students A, B and C. If the probability of A solving the problem is

1/2

and B not solving it is

1/4

. The whole probability of the problem being solved is 63/64 , then what is the probability of solving it by C?

Solution:

A,B & C are independent events
Given

P(A)=1/2,P(\ov B)=1/4,P(C)=?

Let

P(C)=x

Now probability of solving problem

=63/64

The probability of solving is

1-\ov {ABC}=63/64

1-1/2 . 1/4 \ov x=63/64

\ov x=1/8

x=7/8

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