##### Calculate probabilities using the addition and multiplication rules

Addition Rule of Probability $$P\left( A\cup B \right) =P\left( A \right) +P\left( B \right) -P\left( A\cap B \right)$$ The addition rule of probability states that the probability of event $$A$$ or event $$B$$ occurring is the probability of…

##### Calculate probabilities of mutually exclusive events

$$A$$ and $$B$$ are mutually exclusive events if $$A$$ and $$B$$ cannot both occur at the same time. Example: When flipping a coin, the coin cannot land on head and tails at the same time so we consider the events…

##### Define set functions, sample space, and events

In order to understand the concept of probability, it is useful to think about an experiment with a known set of possible outcomes. This set of all possible outcomes is called the sample space $$(S)$$. Sample space $$(S)$$ –set of…