Statistics Examples

P (A) = 0.05

$P (A) = 0.05$ ,

P (B) = 0.8

$P (B) = 0.8$

Step 1

When

A

$A$ and

B

$B$ are independent events, the probability of

A

$A$ and

B

$B$ occurring is

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

$P (A \cap B) = P (B \cap A) = P (A) \cdot (P (B))$ , which is called the multiplication rule for independent events

A

$A$ and

B

$B$ .

P (A \cap B) = P (B \cap A) = P (A) \cdot (P (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) = 0.05 \cdot 0.8

$P (A \cap B) = P (B \cap A) = 0.05 \cdot 0.8$

Step 3

Multiply

0.05

$0.05$ by

0.8

$0.8$ .

P (A \cap B) = P (B \cap A) = 0.04

$P (A \cap B) = P (B \cap A) = 0.04$

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