Probability

• Complementary events

For an event E such that of an experiment, the event  represents ‘not E’ , which is called the complement of the event E. We say, E and are complementary events.

 

Example: 

A pair of dice is thrown once. Find the probability of getting a different number on each die.

Solution: 

When a pair of dice is thrown, the possible outcomes of the experiment can be listed as:

 

 

The number of all possible outcomes = 6 × 6 = 36

Let E be the event of getting the same number on each die.

Then,is the event …