题目

The probability that Gary will eat eggs for breakfast on any given day is . The probability that Gary will eat cereal for breakfast on any given day is . Gary never has both eggs and cereal for breakfast on the same day.

Quantity A

Probability that Gary eats eggs or cereal for breakfast on a particular day

Quantity B

1

选项

A.

Quantity A is greater.


B.

Quantity B is greater.


C.

The two quantities are equal.


D.

The relationship cannot be determined from the information given.


解析

这里有两个事件: 事件A:吃鸡蛋,P(A)=3/7 事件B:吃麦片,P(B)=4/7 事件A与B同时发生:既吃鸡蛋又吃麦片,P(A and B)=0 P(A or B)=P(A)+P(B)-P(A and B) =3/7+4/7-0=1 因此P(A or B)=1,选项C正确。
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