(1)从盒中任取1球,有n1=10种取法,
从盒中任取1球取到红球,有m1=3种取法,
∴它是红球的概率p1=
=m1 n1
.3 10
(2)从盒中任取3球,有n2=
种取法,
C
从盒中任取3球恰好取到2个红球,有m2=
?
C
取法,
C
∴恰好取到2个红球的概率p2=
=m2 n2
=
?
C
C
C
.7 40
(3)由题设知ξ的可能取值为0,1,2,3,
P(ξ=0)=
=
C
C
,7 24
P(ξ=1)=
=
?
C
C
C
,21 40
P(ξ=2)=
=
?
C
C
C
,7 40
P(ξ=3)=
=
C
C
,1 120
∴随机变量ξ的分布列为:
ξ | 0 | 1 | 2 | 3 | ||||||||
P |
|
|
|
|
7 |
24 |
21 |
40 |
7 |
40 |
1 |
120 |
9 |
10 |