甲、乙两人投篮,投中的概率分别为0.6,0.7,今各投三次,求甲比乙投中次数多的概率

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  • 甲:0中概率 0.4*0.4*0.4 =0.064

    1中概率 0.4*0.6*0.4*3=0.288

    2中概率 0.4*0.6*0.6*3=0.432

    3中概率 0.6*0.6*0.6 =0.216

    乙:0中概率 0.3*0.3*0.3 =0.027

    1中概率 0.7*0.3*0.3*3=0.189

    2中概率 0.7*0.7*0.3*3=0.441

    3中概率 0.7*0.7*0.7 =0.343

    故两人投中相等的概率是:

    0.064*0.027+0.288*0.189+0.432*0.441+0.216*0.343=0.001728+0.054432+0.190512+0.074088=

    0.23076