MATH 1101 Lecture Notes - Lecture 14: Empirical Probability, Sample Space

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Sample space: the set of different possible individual outcomes. If you toss a dice, it would be out of 6. So it would be a 3/6 chance or . Theoretical probability: how likely an event is, the fraction of times that event should occur in the ideal. If two events are equally likely, then their probabilities are equal. The probability of an event is the sum of the probabilities of the distinct outcomes that compose the event. If the distinct possible outcomes of a change process are all equally likely, then this is called uniform probability model. All probabilities of the event must add to equal 1 or 100%. Empirical probability: the actual number of times an event occurs. If an experiment is performed many times, then empirical comes closer to the theoretical. Determine the probability of spinning either a red or a yellow on the spinner shown below. A family math night at school features the following game.

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