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Experimental Probability

Experimental Probability . Experimental Probability. Probability based on the results of an experiment that actually happened Used to make future predictions. Theoretical vs Experimental. Often times the theoretical and experimental probabilities of the same event are different.

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Experimental Probability

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  1. Experimental Probability

  2. Experimental Probability • Probability based on the results of an experiment that actually happened • Used to make future predictions

  3. Theoretical vs Experimental • Often times the theoretical and experimental probabilities of the same event are different.

  4. Consider the following • You are going to roll a regular dice 6 times. • Theoretically you should roll each number once • Upon actually rolling (Experiment), chances are you probably did not roll each number once.

  5. Sample Results Roll # Experimental Theoretical #1 1 4 #2 2 2 3 #3 6 #4 4 3 5 #5 2 6 #6 4 Based on the experiment, you might say that it is more likely to roll a 4 or a 2.

  6. Sample Results Roll # Experimental Theoretical #1 1 4 #2 2 2 3 #3 6 #4 4 3 5 #5 2 6 #6 4 Which is greater, the theoretical probability or the experimental probability of rolling a 2?

  7. Sample Results Roll # Experimental Theoretical #1 1 4 #2 2 2 3 #3 6 #4 4 3 5 #5 2 6 #6 4 Which is greater, the theoretical probability or the experimental probability of rolling a 3?

  8. Sample Results Roll # Experimental Theoretical #1 1 4 #2 2 2 3 #3 6 #4 4 3 5 #5 2 6 #6 4 Which is greater, the theoretical probability or the experimental probability of rolling a 1?

  9. Experimental Probability With Cards • You draw 4 cards from a standard deck of 52. All 4 are clubs. Compare the theoretical probability to the experimental probability of drawing a club. Theoretical Experimental There are 4 suits equally spread throughout the deck. Theoretically you should get one of each: heart, club, spade, and diamond. In the experiment, what actually happened, all 4 cards were clubs or 25% or 100%

  10. Experimental Probability With Cards • You draw 4 cards from a standard deck of 52. 3 are red. Compare the theoretical probability to the experimental probability of drawing red. Theoretical Experimental

  11. Experimental Probability With Cards • You draw 4 cards from a standard deck of 52. 1 is red. Compare the theoretical probability to the experimental probability of drawing red. Theoretical Experimental

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