Statistics And Probability Question 434
Question: If A and B an two events such that $ P,(A\cup B)=\frac{5}{6} $ , $ P,(A\cap B)=\frac{1}{3} $ and $ P,(\bar{B})=\frac{1}{3}, $ then $ P,(A)= $
Options:
A) $ \frac{1}{4} $
B) $ \frac{1}{3} $
C) $ \frac{1}{2} $
D) $ \frac{2}{3} $
Show Answer
Answer:
Correct Answer: C
Solution:
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$ P(A)=P(A\cap B)+P(A\cup B)-P(B) $ $ =\frac{1}{3}+\frac{5}{6}-\frac{2}{3}=\frac{3}{6}=\frac{1}{2}. $
BETA
