问题 解答题

(在一次智力竞赛中,比赛共分为两个环节:选答、抢答.第一环节“选答”中,每位选手可以从6个题目(其中4个选择题、2个操作题)中任意选3个题目作答,答对每个题目可得100分;第二环节“抢答”中一共为参赛选手准备了5个抢答题,在每一个题目的抢答中,每个选手抢到的概率是相等的,现有甲、乙、丙三位选手参加比赛.试求:

(1)乙选手在第一环节中至少选到一个操作题的概率是多少?

(2)在第二环节中,甲选手抢到的题目多于乙选手而不多于丙选手的概率是多少?

答案

(1)在第一环节中,乙选手可以从6个题目(其中4个选择题、2个操作题)中任意选3个题目作答,

一共有C63种不同的选法,其中没有操作题的选法有C43种,

所以至少有一个操作题的概率是P1=1-

C34
C36
=1-
1
5
=
4
5

(2)在第二环节中,甲选手抢到的题目多于乙选手而不多于丙选手的情况共有以下三种情况:

甲、乙、丙三位选手抢到题目的数目分别为:1,0,4;2,0,3;2,1,2.

所以所求概率为P2=C51

1
3
)C44
1
3
4+C52
1
3
2•C33
1
3
3+C52
1
3
2•C32
1
3
2•C11
1
3
)=
5
27

完形填空

The first ancient Olympic Games for which we still have written records were held in 776 BC. Coroebus won the only event at the Olympics. This made him the first Olympic champion in history. Then the Olympic Games developed and continued to be held every four years. In 393 AD, the Roman Emperor Theodosius I, a Christian, put a stop to the Games.

In 1892, a young Frenchman named Pierre de Coubertin suggested starting the Olympic Games again but failed. Two years later, Coubertin organized a meeting with 79 people representing nine countries. At this meeting he got what he wanted. All the delegates at the meeting voted for the Olympic Games. They also decided to have Coubertin found an international committee (委员会) to organize the Games. This committee became the International Olympic Committee (IOC) and Demetrious Vikelas from Greece was chosen to be its first president. Athens was chosen for the revival (复兴) of the Olympic Games and the planning began.

The first modern Olympic Games opened in the first week of April, 1896. Since the Greek government didn’t have enough money to build a stadium, a wealthy Greek man, Georgios Averoff, donated over $100,000 to repair the Panathenaic Stadium built in 330 BC.Since the Games were not well publicized (宣传) internationally, athletes were not nationally chosen but rather came by themselves. Some athletes were tourists who happened to be in the area during the Games.

小题1:What can we know about the first Olympic Games?

A.There was only one event in it.

B.It opened in the first week of April 1896.

C.Coroebus was the first man to take part in it.

D.It was stopped by the Roman Emperor Theodosius I.小题2:Coubertin made his dream come true in ________.

A.776

B.1892

C.1894

D.1896小题3:Which of the following is the right order according to the passage?

a. Coubertin first brought forward his idea to start the Olympic Games.

b. Demetrious from Greece was selected as the first president of IOC.

c. Coroebus became the first Olympic champion.

d. Georgios donated money to repair the Panathenaic Stadium.

A. acdb       B. cabd       C. bdac  D. dcba

小题4:The best title for the passage would be ________.

A.The History of the Olympics

B.How Coubertin Set up IOC

C.The First Modern Olympic Games

D.Great Changes in Olympic Games

多项选择题