2. 外语
  3. An experiment has three possible outcomes, I, J, and K. The probabilities of the outcomes are 0.25, 0.35, and 0.40, respectively

An experiment has three possible outcomes, I, J, and K. The probabilities of the outcomes are 0.25, 0.35, and 0.40, respectively

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问题 An experiment has three possible outcomes, I, J, and K. The probabilities of the outcomes are 0.25, 0.35, and 0.40, respectively . If the experiment is to be performed twice and the successive outcomes are independent, what is the probability that K will not be an outcome either time?
选项 A、0.36
B、0.4
C、0.6
D、0.64
E、0.8
答案A
解析 一个实验有3个可能的结果：I，J和K。这些结果出现的概率分别是0.25，0.35和0.4，若连续进行该实验两次，并且两次的结果相互独立，问K不是任一次试验结果的概率有多大?
解：本题的正确答案是(A)。K不是第一次试验结果的概率为：1-0.4=0.6；同理K不是第二次试验结果的概率也为0.6，两次试验的结果相互独立，所以K不是任一次试验结果的概率为0.6×0.6=0.36
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