请问p/1-p=3/1 怎么算出来p=3/4?

问题如下：

After six months, the growth portfolio that Rayan Khan manages has outperformed its benchmark. Khan states that his odds of beating the benchmark for the year are 3 to 1. If these odds are correct, what is the probability that Khan's portfolio will beat the benchmark for the year?

选项：

0.33

0.67

0.75

解释：

C is correct.

The odds for beating the benchmark = P(beating benchmark) / [1-P(beating benchmark)].

Let P(A) = P(beating benchmark). Odds for beating the benchmark =P(A) / [1-P(A)]

3/1=P(A) / [1-P(A)]

Solving for P(A), the probability of beating the benchmark is 0.75.

知识点：Probability Concepts