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Question

The odds against A solving a certain problem are 4 to 3 and the odds in favour of B solving the same problem are 7 to 5. If both of them try independently, the probability that the problem will be solved is :

A
1121
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B
1321
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C
1621
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D
821
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Solution

The correct option is C 1621
Probability that A solves the problem, P(A)=147=37

Probability that B solves the problem, P(A)=1512=712

The required probability =P(AB)=P(A)+P(B)P(AB)

=37+71237×712 P(AB)=P(A)×P(B)

=85842184

=1621

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