Answer: Probability that Jim wins is given by [tex]P(A)=\dfrac{1}{9}[/tex]
Step-by-step 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,
[tex]\dfrac{P(A)}{P(A')}=\dfrac{1}{8}[/tex]
P(A) = 1x
P(A') = 8x
And we know that
P(A)+P(A')=1
[tex]x+8x=1\\\\9x=1\\\\x=\dfrac{1}{9}[/tex]
That implies
[tex]P(A)=\dfrac{1}{9}\\\\and\\\\P(A')=\dfrac{8}{9}[/tex]
Hence, Probability that Jim wins is given by [tex]P(A)=\dfrac{1}{9}[/tex]
