Question
The odds in favour of A solving a problem are 3 to 4 and the odds against B solving the same problem are 5 to 7. If they both try the problem, the probability that the problem is solved is:
Answer: Option B
:
B
P(A)=37,P(B)=712P(¯A)=47,P(¯B)=512P(A∪B)=1−P(¯¯¯¯¯¯¯¯¯¯¯¯¯¯A∪B)=1−P(¯A∩¯B)∴P(A∪B)=1−47×512=1621
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:
B
P(A)=37,P(B)=712P(¯A)=47,P(¯B)=512P(A∪B)=1−P(¯¯¯¯¯¯¯¯¯¯¯¯¯¯A∪B)=1−P(¯A∩¯B)∴P(A∪B)=1−47×512=1621
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