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  3. 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 pro

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 pro

admin2021-10-21  110
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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