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Q.

The odds against A solving a problem are 8 to 6 and the odds in favour of B solving the same problem are 14 to 10.  The probability of solving the problem if they both try independently is 

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a

521

b

421

c

1621

d

13

answer is A.

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Detailed Solution

P(A) : P(A)=8 : 6    P(A)=614P(B) : P(B)=14 : 10    P(B)=1424P(AB)=P(A)+P(B)-P(A)·P(B) =614+1424-614·1424=1621

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