Experimental vs. Theoretical Probability

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Presentation transcript:

Experimental vs. Theoretical Probability

Probability is… A measure of how likely an event is to occur

Theoretical vs. Experimental Probability Theoretical Probability: - The probability we find on paper. - It is the probability of an event based on what “should” happen. Experimental Probability: - Experimental probability refers to the probability of an event occurring based on the results of an experiment.

Theoretical vs. Experimental Probability Theoretical Probability: number of favorable outcomes number of possible outcomes Theoretical Probability =

Theoretical vs. Experimental Probability number of event occurrences Total number of trials Experimental Probability =

Theoretical vs. Experimental Probability Example 1: Roll a dice. What is the theoretical probability of rolling a 4? # favorable outcomes # possible outcomes 1 6 The probability of rolling a 4 is 1 out of 6

Theoretical vs. Experimental Probability Example 1 Continued: Roll a die. What is the experimental probability of rolling a 4? # event occurrences Total # of trials

Theoretical vs. Experimental Probability Example 2: Counters. What is the theoretical probability of flipping a yellow? # favorable outcomes # possible outcomes 1 2 The probability of flipping a yellow is 1 out of 2 or .5 or 50%

Theoretical vs. Experimental Probability Example 2 Continued: Counters. What is the experimental probability of flipping a yellow? # favorable outcomes # possible outcomes

Theoretical vs. Experimental Probability Summary: - Theoretical Probability is how often an outcome “should” happen, in theory. - Experimental probability refers to the probability of an event occurring based on an experiment.

Theoretical vs. Experimental Probability Clear your desks for a short quiz.