The odds against an event is 4:5 and the odds in favour of another event is 3:7. If both the events are independent, then the probability that at least one of the event will happen is
A
3145
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B
7790
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C
16
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D
56
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Solution
The correct option is A3145 P(¯A):P(A)=4:5⇒P(A)=59 P(B):P(¯B)=3:7⇒P(B)=310 =P(A∪B)⇒P(A)+P(B)−P(A∩B) =P(A)+P(B)−P(A)P(B) =59+310−59.310=3145