题目内容

、某公司有三个顾问,假定每个顾问发表的意见是正确的概率均为,现就某事可行与否征求各顾问的意见,并按顾问中多数人的意见作出决策,那么作出正确的决策的概率  ..

分析:每个顾问发表的意见是正确的概率为0.8,且每个顾问之间的回答是相互独立的,按顾问中多数人的意见作出决策,即有两个人或三个人同意,根据独立重复试验的概率公式写出结果.
解:由题意知每个顾问发表的意见是正确的概率为0.8,
每个顾问之间的回答是相互独立的,
按顾问中多数人的意见作出决策,即有两个人或三个人同意,
作出正确决策的概率P=c320.82(1-0.8)+c330.83=0.896.
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