STAT 2040 Lecture Notes - Lecture 5: Wilfrid Laurier University, Genetic Disorder, European Credit Transfer And Accumulation System
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What is the probability both come up heads: two six-sided dice are rolled. These are two examples of probability experiments . In a probability experiment, we cannot predict individual outcomes with certainty, but we may know the long-run distribution of the outcomes. The probability of an outcome is the proportion of times that outcome would occur in a very long (in nite) series of trials. The sample space of an experiment is the set of all possible outcomes. Simple events (also known as sample points) are the most basic outcome of the experiment. Examples: consider rolling an ordinary six-sided die, consider drawing a card from an ordinary 52 card deck. An event is a subset of the sample space. To visualize the various relationships between events, it often helps to illustrate the events with a venn diagram. If all of the simple events are equally likely, then the probability of an event a is: