Independent And Compound Events


Example:



In the combined trial of a toss of a coin and the roll of a die, what is the chance of obtaining a heads/two outcome?

This is an example of a compound event. That is, the desired outcome involves the results of more than one event. This compound event requires the result heads and the result two.

In addition,the probability of the heads outcome is independent of the probability of the two outcome. Compound events involving results that derived with no dependency on each other are called independent compound events. When compound events involve results that are dependent, they are called conditional.

The roll of a die can have any of the following 6 outcomes:

 
The toss of a coin can have either of the following two outcomes:
  

Again, in the combined trial of a toss of a coin and the roll of a die, the outcome of the roll of the die is independent of the outcome of the toss of the coin.

Can you list all the possible outcomes of the combined trial ?
What is the probability of a heads/two outcome ?