Total Number of Events

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 = 2n

Where;

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

Total Number of Events Examples:

1. Statement: Two coins are tossed. Write down the total number of events and the end also writes its sample space.

Solution:

Total number of events = 22 = 4

These four events are;

• Head appears on both coins (H1H2) = E1 = {(H1H2) }
• Head on first coin and tail on 2nd coin (H1T2) = E2= {(H1T2) }
• Tail on first coin and head on 2nd coin (T1H2) = E3 = {(T1H2)}
• Tail appears on both coins (T1T2) = E4 = {(T1T2) }

Sample space = S = {(H1H2), (H1T2), (T1H2), (T1T2)}

1. 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;

• E1 = {(1)}
• E2 = {(2)}
• E3 = {(3)}
• E4 = {(4)}
• E5 = {(5)}
• E6 = {(6)}

So, sample space will be;

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