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Question: If A and B are two events such that \(A \subseteq B\) then \(P \left( \frac { B } { A } \right) =\...

If A and B are two events such that A⊆BA \subseteq B then P(BA)=P \left( \frac { B } { A } \right) =

A

0

B

1

C

1/2

D

1/3

Answer

1

Explanation

Solution

Since A⊆B⇒A∩B=B∩A=AA \subseteq B \Rightarrow A \cap B = B \cap A = A

Hence P(BA)=P(B∩A)P(A)=P(A)P(A)=1P \left( \frac { B } { A } \right) = \frac { P ( B \cap A ) } { P ( A ) } = \frac { P ( A ) } { P ( A ) } = 1 .