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小熊猫 · 2023年06月09日

小数点保留几位？

  1. FRM I
  2. Quantitative

NO.PZ2020010301000017

问题如下：

Based on the probabilities in the diagram below, considering the three distinct pairs of events, how many of these pairs are independent?





选项：

A.

0

B.

1

C.

2

D.

3

解释：

We can use the rule that events are independent if their joint probability is the product of the probability of each. Pr(A) = 48%, Pr(B) = 55%, Pr(C) = 53%, Pr(A∩B) = 21% ≠ (48% * 55%), Pr(A∩C) = 25% ≠ (48% * 53%), Pr(B∩C) = 28% ≠ (55% * 53%). None of these events are pairwise independent.

Pr(A∩C) = 25% ≠ (48% * 53%)？不等于么？48%*53%不是25.44%？题里都没有小数出现，这不能算是25%吗？

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1 个答案

pzqa27 · 2023年06月09日

嗨，爱思考的PZer你好：


严格来说不行，因为25%并不等于25.44%，所以 A和C不是独立事件

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