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13.1 Find Probability and Odds

13.1 Find Probability and Odds. Vocabulary you should memorize: outcome : a possible result of an experiment event : a specific outcome or collection of outcomes sample space : the collection of all possible outcomes Example: When rolling a 6-sided die, you want to roll an odd number.

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13.1 Find Probability and Odds

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  1. 13.1 Find Probability and Odds

  2. Vocabulary you should memorize: • outcome: a possible result of an experiment • event: a specific outcome or collection of outcomes • sample space: the collection of all possible outcomes • Example: When rolling a 6-sided die, you want to roll an odd number. • One outcome is to roll a 5. The event would consist of rolling a 1, 3, or 5. The sample space would be 1, 2, 3, 4, 5, and 6.

  3. How to find a sample space: One option is “brute force,” meaning to make a list and exhaust all options. You flip 3 coins. What is the sample space?

  4. Making a Tree Diagram: You flip a coin and roll a number cube. How many outcomes are in the sample space? List all possible outcomes.

  5. You flip 2 coins and roll a number cube. How many outcomes are in the sample space? List the possible outcomes.

  6. probability: a number from 0 to 1 used to measure of the likelihood, or chance, that an event will occur. -can be expressed as a decimal, fraction, or percent

  7. Two different types of probability: theoretical probability: number of favorable outcomes number of all possible outcomes The “probability of A” can be written P(A).

  8. experimental probability: based on repeated trials of an experiment. number of successes number of trials

  9. odds: compare the number of favorable and unfavorable outcomes when all outcomes are equally likely. odds in favor = # favorable outcomes # unfavorable outcomes odds against = #unfavorable outcomes # favorable outcomes

  10. Assuming that all colors are equally likely, find the odds for and the odds against landing on green.

  11. Assignment: pg. 846 #3 – 16 all, 19, 20

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