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Discrete mathematics p(a
p(A)= { & lt; a,a & gt,& lta,b & gt,& ltb,a & gt,& ltb,b & gt}

p(A)* A = { & lt; & lta,a & gt,a & gt,& lt& lta,b & gt,a & gt,& lt& ltb,a & gt,a & gt,& lt& ltb,b & gt,a & gt,& lt& lta,a & gt,b & gt,& lt& lta,b & gt,b & gt,& lt& ltb,a & gt,b & gt,& lt& ltb,b & gt,b & gt}

For any event P(AB)=P(A)-P(A non-B) P(AB)=P(B)-P (non-AB)?

If A and B are independent of each other, P(AB)=P(A)P(B)

When P(A) >; 0 P(AB)=P(A)P(B|A)

When P(B)>0 P(AB)=P(B)P(A|B)

Expand data p (a/b) = P(AB)/p (b) p (b/a) = p (ab)/p (a) The key is to find p (ab).

If A and B are independent of each other, P(AB)=P(A)*P(B)

If it is not independent, if another P(A+B) is known, it can be found by P(A+B)=P(A)+P(B)-P(AB).