Question

The odds in favor of jim beating a friend at golf are 1:8. find the probability that jim will win.

Answer 1

The probability that jim will win = P(A) = 1/9

What is  probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

According to the given information :

The odds in favor of jim beating a friend at golf are =  1:8

Let A be the event that Jim beating a friend golf.

So,

according to ratio, it becomes

P(A)/P(A') = 1/8

P(A) = 1x

P(A')  = 8x

we know that :

P(A) + P(A') = 1

x + 8x = 1

9x = 1

x = 1/9

so that

P(A) = 1/9

P(A')  = 8/9

the probability that jim will win = P(A) = 1/9

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