Finite Math Examples

$P (A) = 0.9$ , $P (B) = 0.3$

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.

$P (A \cap B) = P (B \cap A) = 0.9 \cdot 0.3$

Step 3

Multiply $0.9$ by $0.3$ .

$P (A \cap B) = P (B \cap A) = 0.27$