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For two events $A$ and $B$ , $P(A) = 0.3$ and $P(B) = 0.2$ .

(a) If $A$ and $B$ are independent, then

$P(A \cup B)$ $=$

$P(A|B)$ $=$

$P(A \cap B)$ $=$

(b) If $A$ and $B$ are dependent and $P(A|B) = 0.8$ , then

$P(B|A)$ $=$

$P(A \cap B)$ $=$

You can earn partial credit on this problem.