STAT 1100 Chapter Notes - Chapter 5: Prior Probability, Asteroid Family, Probability Measure
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An event is a collection of possible outcomes from an experiment. Consider a second example: ipping a coin twice. Sample space = {(h, h), (h, t ), (t, h), (t, t )}, i. e. , all possible result combinations of heads (h) or tails (t ). What would it be an event: the event were you either two heads or two tails in a row. E1 = {(h, h), (t, t )}: the event where you get a head on the rst coin ip. Sample spaces for repeated experiments can become a lit- tle hard to de ne, so people uses a device call a tree dia- gram to keep track of all possible outcomes. If you want to list all the elements in a sample space using a tree diagram, you should follow this sequence of steps: De ne the outcomes for a single trial of the experiment. De ne the sample space for k trials using a tree diagram.
