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Define and Use Probability

Define and Use Probability. Section 10.3. Objectives:. Define probability Find the likelihood that an event will occur. Key Vocabulary:. Probability Theoretical probability Odds Experimental probability Geometric probability. Probability.

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Define and Use Probability

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  1. Define and Use Probability Section 10.3

  2. Objectives: • Define probability • Find the likelihood that an event will occur

  3. Key Vocabulary: • Probability • Theoretical probability • Odds • Experimental probability • Geometric probability

  4. Probability The probability of an event is a number from 0 to 1 that indicates the likelihood the event will occur, as shown on the number line below. Probabilities can be written as fractions, decimals, or percents.

  5. Theoretical Probability

  6. Example 1: You roll a standard six-sided die. Find the probability of (a) rolling a 5 and (b) rolling an even number.

  7. Example 2: A community center hosts a talent contest for local musicians. On a given evening, 7 musicians are scheduled to perform. The order in which the musicians perform is randomly selected during the show. • What is the probability that the musicians perform in alphabetical order by their last names? (Assume that no two musicians have the same last name.) • You are friends with 4 of the musicians. What is the probability that the first 2 performers are your friends?

  8. #1: You have an equally likely chance of choosing any integer from 1 through 20. Find the probability of the given event. A perfect square is chosen.

  9. #2: You have an equally likely chance of choosing any integer from 1 through 20. Find the probability of the given event. A factor of 30 is chosen.

  10. Odds

  11. Example 3: A card is drawn from a standard deck of 52 cards. Find (a) the odds in favor of drawing a 10 and (b) the odds against drawing a club.

  12. Experimental Probability

  13. Example 4: The bar graph shows how old adults in a survey would choose to be if they could choose any age. Find the experimental probability that a randomly selected adult would prefer to be at least 40 years old.

  14. #4: A card is randomly drawn from a standard deck. Find the indicated odds. In favor of drawing a heart.

  15. #5: A card is randomly drawn from a standard deck. Find the indicated odds. Against drawing a queen.

  16. Example 5: You throw a dart at the square dart board shown. Your dart is equally likely to hit any point inside the board. Are you more likely to get 10 points or 0 points?

  17. Homework Assignment Page 701 #4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 28, 30, 32, 36, 38, 42 (a&b)

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