Chapter Objectives

  • Understand and use the terminology of probability
  • Determine whether two events are mutually exclusive and whether two events are independent
  • Calculate probabilities using the addition rules and multiplication rules
  • Construct and interpret contingency tables
  • Construct and interpret Venn diagrams
  • Construct and interpret tree diagrams

Assignment


Basic Rules of probability

The multiplication rule for AND events.

\[\begin{align} P(A \text{ and } B) &= P(A|B)\cdot P(B) \\ \end{align}\]

The addition rule for OR events.

\[\begin{align} P(A \text{ or } B) &= P(A) + P(B) - P(A \text{ and } B) \end{align}\]