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Theoretical Probability

Theoretical Probability. Review. never happens. happens half the time. always happens. 1. 0. 0 0%. .25 25%. .50 50%. .75 75%. 1 100%. Review-Theoretical Probability. Probability of spinning red. 1 100%. 50%. 25%. Review-Experimental Probability. A spinner is spun 1000 times.

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Theoretical Probability

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  1. Theoretical Probability

  2. Review never happens happens half the time always happens 1 0 0 0% .25 25% .50 50% .75 75% 1 100%

  3. Review-Theoretical Probability • Probability of spinning red 1 100% 50% 25%

  4. Review-Experimental Probability A spinner is spun 1000 times probability of spinning red probability of spinning green

  5. Review- Probability • Theoretical probability refers to theoretical chance of an event happening • Experimental probability refers to the chance of something happening based on an experiment that has been conducted.

  6. The Formula for Calculating Probability

  7. Example • What is the probability of rolling a 3 on a dice? • 3 is the favorable outcome • favorable outcomes = 1 • there are 6 numbers on a dice • total possible outcomes = 6 probability of rolling a 3? or

  8. You Try One • What is the probability of rolling a 1 or a 2 on a dice? • 1 and 2 are the favorable outcomes • favorable outcomes = 2 • there are 6 numbers on a dice • total possible outcomes = 6

  9. How About This • What is the probability of rolling an even number? • 2, 4, and 6 are the favorable outcomes • favorable outcomes = 3 • Total possible outcomes = 6

  10. Example • In a drawer there are 6 black socks and 14 white socks. If you pulled out a sock without looking: • What is the probability it will be white? • What is the probability it will be black?

  11. You Try • In a drawer, there a 9 PS3 games and 16 xbox games. If you pulled out one game without looking: • What is the probability of getting a PS3 game? • What is the probability of getting an xbox game?

  12. One More • You have a standard deck of 52 cards. Without looking, you pull one card. • What is the probability it is a 5? • What is the probability it is red? • What is the probability it is a face card? • What is the probability it is a 9 of hearts? • What is the probability it is a black 2?

  13. Rolling Two Dice

  14. When rolling two dice, how many total options are there??????????

  15. When rolling two di, there are 36 total outcomes.

  16. Notes-Rolling 2 Dice • We can construct a table to show all the possible outcomes when throwing 2 dice together. How many total possible outcomes are there?

  17. Example • What is the probability of rolling doubles? favorable outcomes = 6 possible outcomes = 36

  18. You Try • What is the probability of rolling at least one 6? favorable outcomes = 11 possible outcomes = 36

  19. One More • What is the probability of rolling a sum less than or equal to 7? favorable outcomes = 21 possible outcomes = 36

  20. Closure • What is experimental probability? • Experimental probability refers to the chance of something happening based on an experiment that has been conducted.

  21. Closure • What is theoretical probability? • Theoretical probability refers to theoretical chance of an event happening

  22. Closure • The formula for finding the probability of an event happening is: favorable outcomes possible outcomes

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