The odds in favor of an event are 10 to1 ratio Find the probability that the event will occur?

If the odd favoring an event are 10 to 1, then the probability of the event occurring is 0.9.

The odds in favor of an event are 10:1.

Find the probability that the event will occur.

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P(E)+P(E') = 1

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P(E)/P(E') = 10/1

So P(E) = 10P(E')

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Substitute for P(E) and solve for P(E'):

10P(E')+P(E') = 1

11P(E') = 1

P(E') = 1/11

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Therefore P(E) = 10/11