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13-1 Experimental and Theoretical Probability

Learn the basics of experimental and theoretical probability and how to calculate them in various scenarios, such as defect rates in LCD monitors and rolling dice probabilities. Understand the complement of an event and its significance in probability calculations.

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13-1 Experimental and Theoretical Probability

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  1. 13-1 Experimental and Theoretical Probability

  2. Outcome: the possible result of a situation or experiment Even: may be a single outcome or a group of outcomes Sample space: the set of all possible outcomes

  3. Probability: Experimental Probability: measures the likelihood that the even occurs based on the ACTUAL results of an experiment

  4. Problem 1: Calculating Experimental Probability A quality control inspector samples 500 LCD monitors and find defects in three of them • What is the experimental probability that a monitor selected at random will have a defect? • If the company manufactures 15,240 monitors in a month, how many are likely to have a defect based on the quality inspectors results?

  5. Theoretical Probability: describes the likelihood of an event based on mathematical reasoning

  6. Problem 2: Calculating Theoretical Probability What is the probability of rolling numbers that add to 7 when rolling two standard dice?

  7. What is the probability of rolling numbers that add to 13 when rolling two standard dice?

  8. Complement of an event: consists of all of the possible outcomes in the sample space that are NOT part of the event

  9. Problem 3: Using Probabilities of an Event and Their Complements A jar contains 10 red marbles, 8 green marbles, 5 blue marbles, and 6 white marbles. What is the probability that a randomly selected marble is NOT green?

  10. A jar contains 10 red marbles, 8 green marbles, 5 blue marbles, and 6 white marbles. What is the probability that a randomly selected marble is NOT red?

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