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 of getting different numbers on each die.

Now, the number of outcomes favourable to E is 6.

Thus, the required probability is .

**Algebra of events****Complementary event:**For every event*A*, there corresponds another event*A'*called the complementary event to*A*. It is also called the event ‘not*A*’.

*A'* = {} =…

To view the complete topic, please