概率 (13 12:24:11)
1个回答

摸出两个白球概率为

(2/(n+2))*(1/(n+1))

摸出两个红球概率为

(n/(n+2))*((n-1)/(n+1))

中奖概率为P

P=(2/(n+2))*(1/(n+1))+(n/(n+2))*((n-1)/(n+1))

=(n²-n+2)/(n+2)(n+1)

记三次摸球恰有一次中奖的概率为f(p),

f(p)=3*P*(1-P)²

=(3/2)*(2P)*(1-P)*(1-P)