In a probability experiment, G and H are independent events. The probability tha

游客2025-02-23 12

问题 In a probability experiment, G and H are independent events. The probability that G will occur is r, and the probability that H will occur is s.
Quantity A: The probability that either G or H will occur, but not both
Quantity B: r+s-rs

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.

答案 D

解析仔细进行比较，Quantity A=r+s-2rs，Quantity B=r+s-rs。在没有限制“r、s都为正数”的情况下，如果r或s取到0，Quantity A=Quantity B，因为概率的结果是[0，1]，闭区间，所以在概率为零的特殊情况中，两者可能相等。这样正确答案就变成了D。

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