Question

The odds against Carl beating his friend in a round of golf are 9:7. Find the probability that Carl will lose?

Answer 1

The ratio 9:7 gives you following statement:

• Carl will win in 9 cases from 9+7=16;
• Carl will lose in 7 cases from 16.

Then the probability that Carl will lose is

$Pr(\text{Carl will lose})=\dfrac{7}{16}.$

Answer: $Pr(\text{Carl will lose})=\dfrac{7}{16}.$