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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
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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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