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Question 1
Suppose that A and B are two events with probabilities $P(A) =\frac{1}{2} \, P(B)=\frac{1}{3}$ Then which of the following is true?
A.
$$\frac{1}{3}\leq P(A\cap B)\leq \frac{1}{2}$$
B.
$$\frac{1}{4}\leq P(A\cap B)\leq \frac{1}{3}$$
C.
$$\frac{1}{6}\leq P(A\cap B)\leq \frac{1}{3}$$
D.
$$\frac{1}{4}\leq P(A\cap B)\leq \frac{1}{2}$$
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