Finite Math Examples

$P (A) = 0.4$ , $P (a) = 0.5$

Step 1

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

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

Step 2

Fill in the known values.

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

Step 3

Multiply $0.4$ by $0.5$ .

$P (A \cap a) = P (a \cap A) = 0.2$