记该应聘者对三门指定课程考试及格的事件分别为A,B,C,
则P(A)=0.5,P(B)=0.6,P(C)=0.9.--------------(2分)
(Ⅰ) 应聘者用方案一考试通过的概率
p 1=P(A•B•
.
C )+P(
.
A •B•C)+P(A•
.
B •C)+P(A•B•C)
=0.5×0.6×0.1+0.5×0.6×0.9+0.5×0.4×0.9+0.5×0.6×0.9
=0.03+0.27+0.18+0.27
=0.75.--------------(7分)
(Ⅱ) 应聘者用方案二考试通过的概率
p 2=
1
3 P(A•B)+
1
3 P(B•C)+
1
3 P(A•C)
=
1
3 ×(0.5×0.6+0.6×0.9+0.5×0.9)
=
1
3 ×1.29
=0.43--------------(12分)