Asked by Peace
15 Please calculate P(E|F) given P(F|E)=0.3, =0.25 and P(E)=0.6
Answers
Answered by
MathMate
Many basic math problems can be solved by understanding the definition of terms.
Conditional probability
P(E|F)=conditional probability that event E will occur given that event F has already occurred
= P(E∩F)/P(F)
Therefore
P(F|E)=P(F∩E)/P(E)
=P(E∩F)/P(E)
since the ∩ operator is commutative.
Substitute values and solve for P(E∩F).
Note: You seem to have omitted something that equals 0.25
Conditional probability
P(E|F)=conditional probability that event E will occur given that event F has already occurred
= P(E∩F)/P(F)
Therefore
P(F|E)=P(F∩E)/P(E)
=P(E∩F)/P(E)
since the ∩ operator is commutative.
Substitute values and solve for P(E∩F).
Note: You seem to have omitted something that equals 0.25
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