Suppose U and V are events in a sample space S and suppose that P ( U e ) = 0.3 , P ( V ) = 0.6 , and P ( U e ∪ V e ) = 0.4 . What is P ( U ∪ V ) ?
The p(U∪V) for the given problem.
Given information:
Sample space =S and twoevents U,V. Such that p(Uc)=0.3 and p(V)=0.6. And p(Uc∪Vc)=0.4.
Calculation:
Apply probability of the complement of an Event (E), P(Ec)=1−P(E)
P(U)=1−P(Uc)P(U)=1−0.3P(U)=0.7
Since, p(Uc∪Vc)=p(U∩V)c
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