元旦晚会即将来临,小涵作为晚会主持人为本次晚会准备了A等,B等

元旦晚会即将来临,小涵作为晚会主持人为本次晚会准备了A等,B等,C等,D等共
4类奖品,它们的价格可由下表表示 ,小涵绘制了如下两幅不完整的统计图:
 
等级
价格(元/个)
A等
50
B等
30
C等
20
D等
10
 
(1)小涵总共准备了__________个奖品,这些奖品平均每个的价格为__________元.
(2)补全条形统计图.
(3)在晚会的摸奖环节中,所有奖品均已发出,其中获得A等奖的有1位女同学,B等奖有4位女同学.现从获得A等和B等的同学中分别抽出一位做获奖感言,那么请你用画树状图或列表格的方法求出恰好有一位男同学和一位女同学做获奖感言的概率.

答案

(1)40      20………………………………………………………………………4分
(2)

……………………………………5分
(3)设获得A等奖的男同学为B1,B2,女同学为G1
获得B等奖的男同学为B3,B4,B5
女同学为:G2,G3,G4,G5
 
     A等
B等
­­1
­­2
­­1
­­3
(B­­­1, B­­­3)
(B­­­2, B­­­3)
(G­­­1, B­­­3)
­­4
(B­­­4, B­­­1)
(B­­­2, B­­­4)
(G­­­1, B­­­4)
­­5
(B­­­5, B­­­1)
(B­­­2, B­­­5)
(G­­­1, B­­­5)
­­2
(G­­­1, B­­­1)
(B­­­2, G­­­2)
(G­­­1, G­­­2)
­­3
(G­­­3, B­­­1)
(B­­­2, G3)
(G­­­1, G­­­3)
­­4
(G4, B­­­1)
(B­­­2, G­­­4)
(G1, G­­­4)
­­5
(G5, B­­­1)
(B­­­2, G­­­5)
(G1, G­­­5)
………………………………………………………………………………………………8分
∴总共有21种情况,且每种情况出现的可能性一样大,抽到一位男同学和一位女同学的有11种.
.即:抽到一位男同学和一位女同学的概率为.………10分解析:

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