问题 问答题 简答题

甲、乙两人参加某电视台举办的答题闯关游戏,按照规则,甲先从6道备选题中一次性抽取3道题独立作答,然后由乙回答剩余3道题,每人答对其中2道题就停止作答,即闯关成功,已知在6道备选题中,甲能答对其中的4道题,乙答对每道题的概率都是

(1)求甲、乙至少有一人闯关成功的概率;

(2)设甲答对题目的个数为ξ,求ξ的分布列及数学期望。

答案

参考答案:

(1)先求甲乙两人都没有闯关成功的概率P1,甲没有成功即甲抽取的3道题里只有一道能

答对,,乙没有闯关成功的概率为。这两个事件是相互独立事件,所以甲乙两人都没有闯关成功的概率,最后得到甲乙至少有一人闯关成功的概率

(2)ξ的可能取值为1,2。

ξ=1,即甲答对一题,说明甲抽到的三道题只有一道能答对,

ξ=2,即甲答对两题,说明甲抽到的三道题至少有两道能答对,

所以分布列是:

阅读理解

根据短文内容判断正误。正确的写T,错误的写 F。

       Do you use your right hand more or left hand more? Very few us use both of our hands well. Most

 people use right hands, only about five people of a hundred use left hands.  New-born babies can take

  things with either of their hands, but in about two years, they like to use their right hands. Scientists don't

  know why this happens. Thcy've studied it. They think our animal ancestors used their right hands, this

 may not be true.  Monkeys are our closest. relation in the animal world. Scientists have found that

 monkeys like to use one of their hands more than the other. but it can be either hand.  There are as many

  right-handed monkeys as the left-handed ones. Next time you visit the zoo and watch the monkeys

 carefully. You'Il see that some of them will use their right hands and others will use their lcft hands, but

 men use their right hands better and this makes life difficult for the lefthanded ones.  We live in a

 right-handed world.

    Some scientists have found out that more of successful people are left-handed, but they don't know

 why.  But they are working hard to discover the secret.

( ) 1. Very few of us use both of our hands.

( ) 2. About 5% people use their left hands.

( ) 3. The left-handed live easily because most people use their left hands.

( ) 4. New-born babies use their right hands more.

( ) 5. Scientists don't know the reason why more of successful people are lcft-handed.

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