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Theoretical / Experimental Probability

Theoretical / Experimental Probability. What is the difference between theoretical probability and experimental probability?. Theoretical probability shows what should happen in an experiment. Experimental probability shows what actually happened. Experimental vs. Theoretical.

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Theoretical / Experimental Probability

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  1. Theoretical / Experimental Probability

  2. What is the difference between theoretical probability and experimental probability? • Theoretical probability shows what should happen in an experiment. • Experimental probability shows what actually happened.

  3. Experimental vs. Theoretical Experimental probability: P(event) = number of times event occurs total number of trials Theoretical probability: P(A) = number of favorable outcomes total number of possible outcomes

  4. A bag contains three red marbles and three blue marbles. P(red) = 3/6 =1/2 Theoretical (The result is based on the possible outcomes) Identifying the Type of Probability

  5. You draw a marble out of the bag, record the color, and replace the marble. After 6 draws, you record 2 red marbles P(red)= 2/6 = 1/3 Experimental (The result is found by repeating an experiment.) Identifying the Type of Probability

  6. Jim tossed a coin 35 times. He recorded whether the coin landed on heads or tails. 1 3 20 1 4 3 7 35 2 2 35 7 Experimental Theoretical • P (heads) =________ • 2. P (tails) = ________ =_________________ =__________________

  7. 5. What is the difference between the experimental probability of throwing heads and the theoretical probability of throwing heads? Experimental - Theoretical 1 1 14 14 This is about 7% Tails?

  8. P(4) = ______________ • 11) P(odd ) = __________ • 12) P(2 or 5) = __________ • 13) P(factor of 3) = _________ Experimental Theoretical 1/6 6/20= 3/10 1/2 David rolled a number cube, with the numbers 1-6 on it. He recorded the results in the table below. 10/20 = ½ 1/3 5/20 = 1/4 4/20 = 1/5 1/3 14) What is the difference between the experimental probability of rolling a 2 or 5, and the theoretical probability of rolling a 2 or 5? 1/3 – 1/4 = 4/12 – 3/12 = 1/12

  9. Theoretical / Experimental Probability Date __________________________

  10. What is the difference between theoretical probability and experimental probability? probability shows what __________________in an experiment. probability shows what _________________.

  11. Experimental Theoretical Experimental probability: P(event) = ___________________________ Theoretical probability: P(A) = ______________________________

  12. Jim tossed a coin 35 times. He recorded whether the coin landed on heads or tails. Experimental Theoretical • P (heads) =________ • 2. P (tails) = ________ =_________________ =__________________

  13. 5. What is the difference between the experimental probability of throwing heads and the theoretical probability of throwing heads? Experimental - Theoretical

  14. Experimental Theoretical • P(4) = ______________ • 11) P(odd ) = __________ • 12) P(2 or 5) = __________ • 13) P(factor of 3) = _________ David rolled a number cube, with the numbers 1-6 on it. He recorded the results in the table below. 14) What is the difference between the experimental probability of rolling a 2 or 5, and the theoretical probability of rolling a 2 or 5?

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