Total number of events that occurs in a sample space is known as total number of events. It is the sum of all the simple and compound events. Total number of events can be found by;

## Total Number of Events Formula

Total number of events = 2^{n}

Where;

n = the number of things under observation. For example two coins, two dice etc…

## Total Number of Events Examples:

**Statement:**

** Solution:**

Total number of events = 2^{2} = 4

These four events are;

- Head appears on both coins (H
_{1}H_{2}) = E_{1 }= {(H_{1}H_{2}) } - Head on first coin and tail on 2
^{nd}coin (H_{1}T_{2}) = E_{2}= {(H_{1}T_{2}) } - Tail on first coin and head on 2
^{nd}coin (T_{1}H_{2}) = E_{3 }= {(T_{1}H_{2})} - Tail appears on both coins (T
_{1}T_{2}) = E_{4 }= {(T_{1}T_{2}) }

**Sample space = S = {(H _{1}H_{2}), (H_{1}T_{2}), (T_{1}H_{2}), (T_{1}T_{2})}**

**Statement:**A dice is thrown. Now write down all the events and also form a sample space.

** Solution:**

When a dice is rolled then there are six “6” possible outcomes. Therefore, we can say it consists of six events.

These events are;

- E
_{1}= {(1)} - E
_{2}= {(2)} - E
_{3}= {(3)} - E
_{4}= {(4)} - E
_{5}= {(5)} - E
_{6}= {(6)}

So, sample space will be;

** Sample space = {1, 2, 3, 4, 5, 6}**