Suppose That $B _ { 1 }$ And $B _ { 2 }$

question 173

Multiple Choice

Suppose that $B _ { 1 }$ and $B _ { 2 }$ are mutually exclusive and complementary events, such that $P \left( B _ { 1 } \right) = .6$ and $P \left( B _ { 2 } \right) = .4$ . Consider another event $A$ such that $P \left( A \mid B _ { 1 } \right) = .2$ and $P \left( A \mid B _ { 2 } \right) = .5$ . Find $P \left( B _ { 1 } \mid A \right)$ .

• A) .240
• B) .375
• C) .625
• D) .800