问题标题：
3个概率公式的证明,Provethefollowingassertions.1.P[A1∩A2∩A3∩.An]>=P[A1]+P[A2]+...+P[An]-(n-1)foranyeventsA1,A2,...An2.-1/4
问题描述：
3个概率公式的证明,Provethefollowingassertions.
1.P[A1∩A2∩A3∩.An]>=P[A1]+P[A2]+...+P[An]-(n-1)foranyeventsA1,A2,...An
2.-1/4
党晓恒回答：
1.Usingmathematicalinduction,whenn=1,equalityholds;whenn=2,theinequalityisjustP[A1∪A2]=P[A1]+P[A2]+...+P[A(k-1)]+P[Ak∩A(k+1)]-(k-1)>=P[A1]+P[A2]+...+P[A(k-1)]-(k-1)+P[Ak]+P[A(k+1)]-1=P[A1]...
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