Experimental Probability

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Presentation transcript:

Experimental Probability

Theoretical Expected outcome over many many trials. More trials you do, closer to expected outcome

You can estimate the probability of an event by using data, or by experiment. For example, if a doctor states that an operation “has an 80% probability of success,” 80% is an estimate of probability based on similar case histories. Each repetition of an experiment is a trial. The sample space of an experiment is the set of all possible outcomes. The experimental probability of an event is the ratio of the number of times that the event occurs, the frequency, to the number of trials.

Experimental probability is often used to estimate theoretical probability and to make predictions.

Example 5A: Finding Experimental Probability The table shows the results of a spinner experiment. Find the experimental probability. Number Occurrences 1 6 2 11 3 19 4 14 spinning a 4 The outcome of 4 occurred 14 times out of 50 trials.

Example 5B: Finding Experimental Probability The table shows the results of a spinner experiment. Find the experimental probability. spinning a number greater than 2 Number Occurrences 1 6 2 11 3 19 4 14 The numbers 3 and 4 are greater than 2. 3 occurred 19 times and 4 occurred 14 times.

Check It Out! Example 5a The table shows the results of choosing one card from a deck of cards, recording the suit, and then replacing the card. Find the experimental probability of choosing a diamond.

Check It Out! Example 5b The table shows the results of choosing one card from a deck of cards, recording the suit, and then replacing the card. Find the experimental probability of choosing a card that is not a club. Use the complement.

Assignment Practice!