Question

The oods in favor of Jim beating a friend golf are 1:8, find the probability that Jim wins

Answer 1

Jim’s probability of winning is 12.5%

Answer 2

Answer: Probability that Jim wins is given by
`P(A)=(1)/(9)`

Explanation:

Since we have given that

The odds in favor of Jim beating a friend 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

And we know that

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

`x+8x=1\\\\9x=1\\\\x=(1)/(9)`

That implies

`P(A)=(1)/(9)\\\\and\\\\P(A')=(8)/(9)`

Hence, Probability that Jim wins is given by
`P(A)=(1)/(9)`