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Question
The odds against a certain event is 5 : 2 and the odds in favour of another event is 6 : 5. If both the events are independent, then the probability that at least one of the events will happen is
The odds against a certain event is 5 : 2 and the odds in favour of another event is 6 : 5. If both the events are independent, then the probability that at least one of the events will happen is
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Solution
The correct option is B
Let A and B be two given events. The odds against A are 
, therefore
The odds in favour of 
therefore 
The required probability 
Let A and B be two given events. The odds against A are , therefore
The odds in favour of
therefore
The required probability