Finite Math Examples

$P (F) = 0.6$ , $P (a) = 0.3$

Step 1

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

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

Step 2

Fill in the known values.

$P (F \cap a) = P (a \cap F) = 0.6 \cdot 0.3$

Step 3

Multiply $0.6$ by $0.3$ .

$P (F \cap a) = P (a \cap F) = 0.18$