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Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given,
Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given,
admin
2018-12-14
12
问题
Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given, and select one of the following four answer choices:
(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.
A symbol that appears more than once in a question has the same meaning throughout the question.
选项
答案
B
解析
By the rules of probability, you can conclude that the probability that event H will not occur is 1 - s. Also, the fact that G and H are independent events implies that G and "not H" are independent events. Therefore the probability that G will occur and H will not occur is r(1-s). Similarly, the probability that H will occur and G will not occur is s(l - r). So Quantity A, the probability that either G will occur or H will occur, but not both, is r(1-s)+ s(1-r)= r + s- 2rs, which is less than Quantity B, r + s-rs. Thus the correct answer is Choice B.
This explanation uses the following strategy.
Strategy 1: Translate from Words to an Arithmetic or Algebraic Representation
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