Can someone please help with this one small problem.....I confused myself.

Probability of an event E if the odds in favor of E are as shown below,

a)2 to 15

Thanks so much.

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- May 1st 2009, 09:25 PMambergarrett955Probability of an event
Can someone please help with this one small problem.....I confused myself.

Probability of an event E if the odds in favor of E are as shown below,

a)2 to 15

Thanks so much. - May 1st 2009, 11:06 PMGrandadOdds and probability
Hello ambergarrett955If the odds in favour of E are 2 to 15, then in the long run we can expect E to happen 2 times for every 15 times it doesn't happen. In other words, for every 17 trials we can expect E to occur 2 times.

So the probability of E is .

If you want a formula, you can say that if the odds in favour of an event are to , then the probability of the event is .

Note also that if you're given the odds*against*something happening, you need to use the*second*number for the numerator of the fraction when you're working out the probability. For instance, if the odds are 10 to 1 against something happening, then the probability that it will happen is , and the formula is:

If the odds*against*an event are to , then the probability that the event occurs is .

Grandad