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Quote of the Day

Quote of the Day. …in man there is nothing great but mind. -Sir William Rowan Hamilton. Find Probabilities and Odds. Section 13.1. Objectives:. Find sample spaces Find probabilities. Key Vocabulary:. Outcome Event Sample space Probability Odds. Outcomes, Events, and Sample Spaces.

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Quote of the Day

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  1. Quote of the Day …in man there is nothing great but mind. -Sir William Rowan Hamilton

  2. Find Probabilities and Odds Section 13.1

  3. Objectives: • Find sample spaces • Find probabilities

  4. Key Vocabulary: • Outcome • Event • Sample space • Probability • Odds

  5. Outcomes, Events, and Sample Spaces A possible result of an experiment is an outcome. An event is an outcome or a collection of outcomes, such as rolling an odd number. The set of all possible outcomes is called a sample space.

  6. Example 1: You flip a coin and roll a number cube. How many possible outcomes are in the sample space? List the possible outcomes.

  7. #1: Complete. You flip two coins and roll a number cube. How many possible outcomes are in the sample space? List the possible outcomes.

  8. Probability of an Event The probability of an event is a measure of the likelihood, or chance, that the event will occur. Probability is a number from 0 to 1 and can be expressed as a decimal, fraction, or percent.

  9. Theoretical Probability The outcomes for a specified event are called favorable outcomes. When all outcomes are equally likely, the theoretical probability can be found using: The probability of event A is written at P(A).

  10. Example 2: You and your friends designed T-shorts with silk screened emblems, and you are selling the T-shirts to raise money. The table below shows the number of T-shirts you have in each design. A student chooses a T-shirt at random. What is the probability that the student chooses a red T-shirt?

  11. #2: Complete. In Example 2, what is the probability that the student chooses a T-shirt with a gold emblem?

  12. #3: Complete. You toss a coin and roll a number cube, what is the probability that the coin shows tails and the number cube shows 4?

  13. Example 3:

  14. Odds The odds of an event compare the number of favorable and unfavorable outcomes when all outcomes are equally likely.

  15. Example 4: In Example 3, find the odds against stopping on green.

  16. #5: Complete. In Example 3, what are the odd in favor of stopping on blue?

  17. #4: Complete. In Example 3, for which color is the experimental probability of stopping on the color greater than the theoretical probability.

  18. Partner Work Page 846 #3, 5, 8, 14, 19

  19. Homework Assignment Page 846 #4, 6, 10, 12, 16, 20, 22, 24, 25, 26

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