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…

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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…

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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…

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