Probability

Equations

Combinations

  Combinations  

Counting

If you have two experiments, and the first can result in p number of outcomes, and for each outcome, there is a second experiment which can result in q number of outcomes, then the total possible outcomes for the two experiments is p · q.

General counting

If you have x number of experiments, and each experiment can result in h number of outcomes, for example h1 for the first one, h2 for the second one, h3 for the third, etc., then the total number of outcomes for all experiments is \begin{equation} h_{\, tot} = h_1 \cdot h_2 \cdot h_3 ... \cdot \, h_x \qquad \textnormal{Total number of outcomes in } x \textnormal{ experiments} \end{equation}

Taken from Probability, Ross