甲至多命中2个且乙至少命中2个的概率:
[1-2*(1/2)^4][1-(1/3)^4-4*(2/3)(1/3)^3]
=(7/8)*(8/9)=7/9
若规定每投篮一次命中得3分,未命中得-1分,
则乙所得满分的概率
(2/3)^4=16/81
乙所得零分的概率
(*1/3)^4=1/81
P=P(A)*P(B)
P(A)=(1/2)^4+(C41)*(1/2)*(1/2)^3+(C42)*(1/2)^2*(1/2)^2
=1/16+1/4 + 3/8=11/16
P(B)=(C42)*(2/3)^2*(1/3)^2+(C43)*(2/3)^3*(1/3)+(2/3)^4
=24/81+ 32/81 +16/81
=72/81=8/9
P=11/16*8/9=11/18
满分 P=(2/3)^4=16/81
0分 p=C41 *(1/3)^3*(2/3)=8/81
(Ⅰ) (4*1/2*1/2*1/2*1/2+6*1/2*1/2*1/2*1/2)*(1-1/3*1/3*1/3*1/3-4*1/3*1/3*1/3*2/3)
(Ⅱ)2/3*2/3*2/3*2/3
4*2/3*1/3*1/3*1/3