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xuaning · 2021年10月06日

解析没有看明白

NO.PZ2021062201000002

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:

A.

0.33

B.

0.67

C.

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)1.

3=P(4) / [1-P(A)]

Solving for P(4), the probability of beating the benchmark is 0.75.

知识点:Probability Concepts

老师,这道题的解析没有看明白,是否有其他容易理解的解析,为什么选C

1 个答案

星星_品职助教 · 2021年10月06日

同学你好,

根据题干中的“ his odds of beating the benchmark for the year are 3 to 1”,可知 P/(1-P)=3/1,解出P=3/4,即选择C选项。

对应公式如下: