If the odds in favor of an event A are 3 to 1, what is the probability associated with event A occurring? I am so confused with this question could you show me how I could solve it?
2 answers
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The odds in favour of event A is 3:1
so the prob of event A happening is 3/4
If the odds in favour of some event is a:b
then the prob of event A is a/(a+b) and the prob of the event not happening is b/(a+b)
Note a/(a+b) + b/(a+b)
= (a+b)/(a+b) = 1
so the prob of event A happening is 3/4
If the odds in favour of some event is a:b
then the prob of event A is a/(a+b) and the prob of the event not happening is b/(a+b)
Note a/(a+b) + b/(a+b)
= (a+b)/(a+b) = 1