# Statistics Examples

Step 1

represents any event, and is the complement of that event. Combined, the mutually exclusive events and represent every possible outcome in the sample space, so the sum of their two probabilities adds to . In this case, .

Step 2

The probability of the complement event is , which is equal to .

Step 3

Substitute the value of into .

Step 4

Multiply by .

Step 5

Subtract from .