Statistics Examples

$P (A) = 0.78$ , $P (B) = 0.09$

Step 1

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

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

Step 2

Fill in the known values.

$P (A \cap B) = P (B \cap A) = 0.78 \cdot 0.09$

Step 3

Multiply $0.78$ by $0.09$ .

$P (A \cap B) = P (B \cap A) = 0.0702$

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