题目

The probability of rain in Greg's town on Tuesday is 0.3. The probability that Greg's teacher will give him a pop quiz on Tuesday is 0.2. The event occur independently of each other.

Quantity A

The probability that either or both events occur

Quantity B

The probability that neither event occurs

选项

A.

The quantity in Column A is greater.


B.

The quantity in Column B is greater.


C.

The two quantities are equal.


D.

The relationship cannot be determined from the information given.


解析

设A为“下雨”事件,B为“随堂测验”事件。 P(A):0.3 P(B):0.2 P(B|A):0 …… 该概率表示在事件A已发生的条件下事件B发生的概率。由于两事件相互独立,因此该值为0。 A项:P(A)×(1-P(B)) + P(B)×(1-P(A)) + P(A)×P(B) = 0.14 + 0.24 + 0.06 = 0.44 B项:(1-P(A))×(1-P(B)) = 0.7×0.8 = 0.56 注:1-P(A)为事件A不发生的概率。 B项更大
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