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Unformatted text preview: 2 of 8 1.2 Probabilities of multiple trials 1.2 Probabilities of multiple trials Single trial We previously looked at single trials and learned how to use the addition rule (OR) to calculate probabilities. Multiple trials We will now learn how to calculate probabilities for multiple trials using the multiplication rule (AND). Recall: for a single trial Probability of A occurring: P ( A ) = x A n = number of ways A can occur total possible number of ways Probability of A or B occurring: ( Never double count ) P ( A or B ) = x A n + x B n MULTIPLICATION OF CHOICES Question 4 . Make a tree diagram for an experiment that consists of two trials. (1) roll a die and then (2) flip a coin on the second trial. How many possible outcomes are there? Multiplication of choices. Definition 1.1 If an experiment consists of k trials with n i possible outcomes for each individual trial, then the total number of permutations (outcomes) for the k trials is: N = n 1 n 2 n 3 n k (1) When order is important. (ie. H-T is different than T-H whenWhen order is important....
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