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What is the greatest probability that events R and W will both occur? (1)The pr
What is the greatest probability that events R and W will both occur? (1)The pr
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2025-02-27
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问题
What is the greatest probability that events R and W will both occur?
(1)The probability that events R will occur is 0.38.
(2)The probability that events W will occur is 0.46.
选项
A、Statement (1) ALONE is sufficient, but statement (29) alone is not sufficient to answer the question asked.
B、Statement (2) ALONE is sufficient, but statement (28) alone is not sufficient to answer the question asked.
C、BOTH statement (1) and (29) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
D、EACH statement ALONE is sufficient to answer the question asked.
E、Statement (1) and(29)TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
答案
C
解析
事件R和w同时发生的最大概率为R和w中较小的一个。比如R发生概率为0.4,w发生概率为0.5,那么事件R和w同时发生的最大概率为0.4,Statement (1)中没有说w发生的概率,Statement (2)中没有说事件R发生的概率,所以两者单独都不能够回答问题。如果结合起来,同时发生的最大概率为0.38,所以C为正确答案。
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