Question

Let $A,B,C$ be three events in a probability space. Suppose that $P(A)=0.5,P(B)=0.3,P(C)=0.2$, $P(A\cap B)=0.15,P(A\cap C)=0.1$ and $P(B\cap C)=0.06$, the greatest possible value of $P\left(A^C\cap B^C\cap C^C\right)$ is [Note : $A^c$ denotes compliment of event $A$ ]

• A. 0.31
• B. 0.25
• C. 0
• D. 0.26

Answer 1

Answer: (A)

Correct answer is (a) 0.31