機率3 1.3-2

高一數學機率與統計 ( 一 ) 9848513 張維珊 9622038 陳孟謙 9622035 曾翊琪

3-1 樣本空間與事件 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

例題１、已知一試驗的樣本空間 S={1,2,3,4,5}, 事件Ａ＝｛ 1,2 ｝ , 試問﹕ ,[object Object],[object Object]

(1) 恰含 3 個樣本點的事件共有多少個﹖ ,[object Object],[object Object],[object Object],[object Object]

(2) 與事件互斥的事件共有多少個﹖ ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

3-2 機率的性質 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

例題２、已知編號為 1, 2, …, 10 的十盞路燈中 , 有三盞是故障的 , 求編號 4 與編號 5 都是故障的機率

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

例題 4 、 P(A∪B) ＝， P(A′) ＝， P(A∩B) ＝ ,[object Object],[object Object],[object Object],[object Object]

(1) P(A  B) ,[object Object],[object Object],[object Object],[object Object],(2) P(B) ,[object Object],[object Object],[object Object],[object Object]

(3) P(A′∪B) ,[object Object],[object Object],[object Object],[object Object],(4) P(A′∪B′) ,[object Object],[object Object]

例題 5 、 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

[object Object],[object Object],[object Object],[object Object],[object Object]

例題 6 、 ( 生日問題 ) ,[object Object],[object Object],[object Object],[object Object],[object Object]

(1) 至少有二人生日不同之機率 ,[object Object],[object Object],[object Object],[object Object]

(2) 恰有三人生日同月，其餘不同月之機率 ,[object Object],[object Object],[object Object],[object Object],[object Object]

(3) 至少有二人在同一日出生之機率 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

機率3 1.3-2

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機率3 1.3-2