统计学的概率题P(A)=13/25 P(B)=9/25 条件概率P(A/B)=5/9 问:P(A and B) P(B/A) P(A or B or both) P(A or B or not both) P(A'/B') P(A/B') 另外,P(A U B) 和P(A ^ B) ^为倒立的U
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![统计学的概率题P(A)=13/25 P(B)=9/25 条件概率P(A/B)=5/9 问:P(A and B) P(B/A) P(A or B or both) P(A or B or not both) P(A'/B') P(A/B') 另外,P(A U B) 和P(A ^ B) ^为倒立的U](/uploads/image/z/1649540-20-0.jpg?t=%E7%BB%9F%E8%AE%A1%E5%AD%A6%E7%9A%84%E6%A6%82%E7%8E%87%E9%A2%98P%28A%29%3D13%2F25+P%28B%29%3D9%2F25+%E6%9D%A1%E4%BB%B6%E6%A6%82%E7%8E%87P%28A%2FB%29%3D5%2F9+%E9%97%AE%EF%BC%9AP%28A+and+B%29+P%28B%2FA%29+P%28A+or+B+or+both%29+P%28A+or+B+or+not+both%29+P%28A%27%2FB%27%29+P%28A%2FB%27%29+%E5%8F%A6%E5%A4%96%2CP%28A+U+B%29+%E5%92%8CP%28A+%5E+B%29+%5E%E4%B8%BA%E5%80%92%E7%AB%8B%E7%9A%84U)
统计学的概率题P(A)=13/25 P(B)=9/25 条件概率P(A/B)=5/9 问:P(A and B) P(B/A) P(A or B or both) P(A or B or not both) P(A'/B') P(A/B') 另外,P(A U B) 和P(A ^ B) ^为倒立的U
统计学的概率题
P(A)=13/25 P(B)=9/25 条件概率P(A/B)=5/9
问:P(A and B) P(B/A) P(A or B or both) P(A or B or not both)
P(A'/B') P(A/B')
另外,P(A U B) 和P(A ^ B) ^为倒立的U
统计学的概率题P(A)=13/25 P(B)=9/25 条件概率P(A/B)=5/9 问:P(A and B) P(B/A) P(A or B or both) P(A or B or not both) P(A'/B') P(A/B') 另外,P(A U B) 和P(A ^ B) ^为倒立的U
P(A)=13/25 P(B)=9/25 ,P(A|B)=5/9
所以P(A and B)=(9/25)*(5/9)=1/5
P(B|A)=P(A and B)/P(A)=5/13
P(A or B or both) =P(A)+P(B)-P(A and B)=13/25+9/25-1/5=18/25
P(A or B or not both) =1-P(A and B)=1-1/5=4/5
P(A'|B')= [1-P(A or B or both)]/[1-P(B)]=(7/25)/(16/25)=7/16
P(A|B')=[P(A)-P(A and B) ]/P(B')=(8/25)/(16/25)=1/2
P(A U B) 表示A,B中至少发生一个的概率
P(A ^ B) 表示A,B都发生的概率