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  3. An experiment has three possible outcomes, I, J, and K. The probabilities of the

An experiment has three possible outcomes, I, J, and K. The probabilities of the

游客2024-01-12  26
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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