The probability that event A occurs is 0.6 and the probability that event B occu

游客2024-01-13  26

问题 The probability that event A occurs is 0.6 and the probability that event B occurs is 0.5. What is the greatest value of the probability that events A and B both not occur?

选项 A、0.2
B、0.5
C、0.4
D、0.3
E、0.1

答案 C

解析 A事件发生概率是0.6,B事件发生概率是0.5,AB都不发生的概率许多考生经常会习惯性地认为是(1-0.6)×(1-0.5)=0.3,其实不然,因为题目中没有告诉你这两个事件是独立事件。A不发生的概率是(1-0.6)=0.4,B不发生的概率是(1-0.5)=0.5,AB都不发生概率的最大可能值为A不发生的概率和B不发生的概率中的较小的一个,即0.4。
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