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Question

# The odds against a certain event are 5 to 2 and the odds in favour of an other event independent of the former are 6 to 5. The probability that none of the events will happen is

A
5277
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B
1277
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C
2577
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D
577
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Solution

## The correct option is C 2577Let's say odds against a certain event are 5 to 2 is case A: P(A)=27And another case is favour of an other event are 6 to 5 is case B: P(B)=611Probability that none of the events will happen is=1−P(A)−P(B)+P(A∩B)=1−P(A)−P(B)+P(A)P(B)=1−27−611+(27×611)=2577

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