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 $P ( A )$.
A) $.88$
B) $.70$
C) $.32$
D) $.38$

Question

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The Answer of 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 $P ( A )$.
A) $.88$
B) $.70$
C) $.32$
D) $.38$

Suppose That B1B _ { 1 }B1​ And B2B _ { 2 }B2​

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