12-7: Experimental Probability

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Presentation transcript:

12-7: Experimental Probability

Experimental Probability – A probability based on the results of experimental data. number of times an event occurs P(event) = number of times experiment is done

Example A medical study tests a new medicine on 350 participants. It is effective for 301 participants. Find the experimental probability that the medicine is effective number of times an event occurs P(event) = number of times experiment is done 301 P(event) = = 0.86 = 86% 350

The following is a survey of vehicles in a parking lot. Color Number of Vehicles black 9 blue 10 brown 13 green 7 red 12 white 11 gray 6 1.) P(red cars) 2.) P(white cars) 3.) P(blue or green) 4.)P(not black or gray)

Simulating Events A simulation is a model used to find experimental probability. For example, we simulated multiple rounds of Rock, Paper, and Scissors. Our theoretical probability for winning, losing, and ties were all 33.3%.

Simulating Events Facts: Experimental probability found by simulation can differ from theoretical probability. The more trials you do in a simulation, the closer the theoretical and experimental probability are likely to be the same.

Homework worksheet