题目

Carcass has 4 different letters to be sent to 4 different addresses. For each letter, he prepared an envelope with its correct address. He then put 4 letters into the 4 prepared envelopes at random.


Quantity A

Probability that only 1 letter was put into the envelope with its correct address

Quantity B

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

把正确的信放入第1个信封,给第2个信封放3个选项,其中只有2个是错误的,再给第3个信封放只有1个错误的选项。当第1个信封放对时,总情况数为 2×1=2 对4个信封重复此操作:2+2+2+2=8 总情况数 = 4! = 24 概率 = 8/24 = 1/3 < 2/5
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