Statistics Examples

$P (A) = 0.4$ , $P (B) = 0.3$ , $P (B g i v e n A) = 0.5$

Step 1

When $A$ and $B$ are dependent events, the probability of $A$ and $B$ occurring is $P (A \cap B) = P (A) \cdot (P (B | A))$ , which is called the multiplication rule for dependent events $A$ and $B$ .

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

Step 2

Fill in the known values.

$P (A \cap B) = 0.4 \cdot 0.5$

Step 3

Multiply $0.4$ by $0.5$ .

$P (A \cap B) = 0.2$

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