# Probability Examples

### Common Core Standard: HSS.CP.A.1

What is probability? In simple terms it is how ” likely” an event will occur. For instance, if you flip a coin how likely is it you will flip a heads? In order to calculate probability follow these steps.

# Probability of Independent Events

**Independent Events:** Events are independent if the result of the second event is not affected by the actions of the first event.

You may think of independent events as isolated events.

**For example:** Flipping a coin. Each flip of the coin has no impact on the next flip.

If you have three red marbles, and three blue marbles placed on a table. What are the chances of picking a blue marble, and then a red marble if the marbles are replaced each time? Because the marbles are replaced each time they have no bearing on the next event.

**Independent events involving “and”**

When you have independent events along with the statement “and” use the formula

**P(A and B) = P(A) x P(B)**

Please note P( ) means the probability of an event. The event is placed in the ( ) for example

What is the probability of rolling a 5 on a six sided die can be written P(5)

## Video Tutorial Probability of Independent Events

## Video Solution to Dependent events with “and”