一求甲三次投篮恰好得三分的概率三次只有一次投中 C3(1)1/3(1-1/3)(1-1/3)=4/9 二假设甲投一次,乙投两次,设X是甲这次投篮的得分减去乙这两次投篮得分总和的差,求随机变量x的分布列. 甲有0分或3分 (0分,2/3,3分,1/3)乙有可能得0分或3分,或6分(0分,9/16,3分,6/16,6分,1/16 所以x取值是0,-3分,-6分,3分。
0分,甲0分,乙0分,甲3分,乙3分,2/3*9/16+1/3*6/16=1/2 -3分,甲0分,乙3分,甲3分,乙6分,2/3*6/16+1/3*1/16=13/48 -6分,甲0分,乙6分, 2/3*1/16=1/24 3分,甲3分,乙0分 1/3*9/16=3/16