3. P(0)=C(97,5)/C(100,5)=0.855998763
P(1)=C(3,1)*C(97,4)/C(100,5)=0.138064317
P(2)=C(3,2)*C(97,3)/C(100,5)=0.005875077
P(3 )=C(3,3)*C(97,2)/C(100,5)=0.0000618429
4. 两个5分都取,再加上其余8个中的3个,总数超1角,有C(8,3)种
取1个5分,3个2分,再从5个1分中取1个,总数超1角 有C(2,1)C(5,1)种
取1个5分,2个2分,再从5个1分中取2个,总数超1角 有C(2,1)C(3,2)C(5,2)
其余情况总数不能超1角,
所以P(超1角)=
[C(8,3)+C(2,1)C(5,1)+C(2,1)C(3,2)C(5,2)]/C(10,5) =0.5
5. P(A)=4/15 P(B)=7/15 P(AB)=1/10
P(A︱B)= P(AB)/ P(B)=(1/10)/(7/15)=3/14
P(B︱A)=P(AB)/ P(A)=)=(1/10)/(4/15)=3/8
P(A+B)=P(A)+P(B)-P(AB)=4/15+7/15 -1/10=19/30