Statistics Examples

$P (A) = 0.5$ , $P (B) = 0.75$ , $P (B g i v e n A) = 0.53$

Step 1

Two events are independent events when the occurrence of one does not affect the probability of the other. $P (A | B) = P (A)$ and $P (B | A) = P (B)$ .

$P (A | B) = P (A)$

$P (B | A) = P (B)$

Step 2

$P (B | A)$ should equal to $P (B)$ because the occurrence of $A$ should not effect the probability of $B$ for independent events $A$ and $B$ . In this case, $P (B | A) \neq P (B)$ , which means that $A$ and $B$ are dependent events.

A and B are dependent events

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