问题 解答题

有一个不透明口袋,装有分别标有数字1,2,3的3个小球(小球除数字不同外,其余都相同),另有2张背面完全一样、正面分别写有数字1,2的卡片.小敏从口袋中任意摸出一个小球,小颖从这2张背面朝上的卡片中任意摸出一张,然后计算小球和卡片上的两个数的积.

(1)请你用列表或画树状图的方法,求摸出的这两个数的积为6的概率;

(2)小敏和小颖做游戏,她们约定:若这两个数的积为奇数,小敏赢;否则,小颖赢.你认为该游戏公平吗?为什么?如果不公平,请你修改游戏规则,使游戏公平.

答案

(1)列表如下:

 123
1123
2246
∵总结果有6种,其中积为6的有1种,

∴P(积为6)=

1
6

(2)游戏不公平,因为积为偶数的有4种情况,所以概率是

2
3
,而积为奇数的有2种情况,概率是
1
3
,获胜的概率是不相等的.

游戏规则可改为:若积小于3,小敏赢;若积大于等于3,小颖赢.

注:修改游戏规则,应不改变已知数字和小球、卡片数量.其他规则,凡正确均给分.

问答题 案例分析题
完形填空
It was Thanksgiving morning. In the crowded kitchen of my small home I was busy preparing the traditional Thanksgiving turkey when the doorbell rang. I opened the front door and saw two small children in rags huddling together inside the storm door on the top step.
"Any old papers, lady?" asked one of them.
I was busy. I wanted to say “no” __  __looked down at their feet. They were wearing thin scandals (凉鞋),wet with heavy snow.   
“Come in and I'11         you a cup of hot cocoa.”
They walked over and sat down at the table. Their wet shoes left       on the floor.I     __  them cocoa and toast with jam        the cold outside. Then I went back to the kitchen and started again on my household budget. The silence in the front door __  __me. I looked in. The girl__   the empty cup in her hands, looking at it. The boy asked in a flat       ," Lady ... are you rich?"
"Am I rich? Mercy,         !"  I looked at my shabby slipcover(家具套).The girl put her cup back in its saucer(茶碟)      .
“Your cups match your saucers.”
Her voice was ___  __with a need that no amount of food could supply.They left after that, holding their       against the wind.They hadn't said thank you.
They didn’t         to. They had done more than that. Plain blue china cups and saucers were only worth five pence. But they  __  __.
I tasted the potatoes and stirred(搅动)the meat soup. Potatoes and brown meat soup, a     __ over our heads, my man with a good steady job—these things matched, too.
I moved the chairs back from the fire and      the living room.The muddy prints of small scandals were still         on my floor. “      them be for a while,” I thought. Just        I should begin to forget how         I am.
小题1:
A.when B.afterC.whileD.until
小题2:
A.makeB.provideC.doD.cook
小题3:
A.signsB.signalsC.marksD.symbols
小题4:
A.showedB.servedC.carriedD.supplied
小题5:
A.againstB.fromC.onD.in
小题6:
A.beatB.struckC.gotD.noticed
小题7:
A.watchedB.liftedC.heldD.put
小题8:
A.wordB.methodC.stateD.voice
小题9:
A.yesB.sureC.noD.always
小题10:
A.suddenlyB.carefullyC.quicklyD.anxiously
小题11:
A.hungryB.satisfiedC.pleasedD.curious
小题12:
A.books B.papersC.dishesD.drinks
小题13:
A.dareB.planC.wantD.need
小题14:
A.shone B.matchedC.brokeD.equaled
小题15:
A.house B.ceilingC.roofD.curtain
小题16:
A.washedB.rubbedC.wipedD.tidied
小题17:
A.dryB.goneC.wetD.new
小题18:
A.MadeB.LetC.GotD.Kept
小题19:
A.in caseB.as ifC.if onlyD.only if
小题20:
A.niceB.freeC.busyD.rich