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# 7.8 simple probability 1

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### 7.8 simple probability 1

1. 1. Daily Homework Quiz For use after Lesson 4.3 Simplify 1 . 1734 2 . 1520
2. 2. Daily Homework Quiz For use after Lesson 4.3 Simplify 1 . 1734 ANSWER 12 2 . 1520 ANSWER 34
3. 3. Simple Probability 7.8
4. 4. Calculators <ul><li>You will need a scientific calculator for this unit. </li></ul>
5. 5. Essential Questions <ul><li>What are the differences between permutations and combinations? </li></ul><ul><li>What are the differences between odds and probability? </li></ul><ul><li>How is probability used to make predictions? </li></ul><ul><li>What are the differences between experimental and theoretical probabilities? </li></ul>
6. 6. Vocabulary <ul><li>Probability of an event : the likelihood that the event will occur. </li></ul><ul><ul><li>The probability of an event occurring is always written as a number from 0 to 1. </li></ul></ul><ul><ul><li>When it is impossible for an event to occur, the probability is 0. </li></ul></ul><ul><ul><li>When an event is certain to occur, the probability is 1. </li></ul></ul>
7. 7. Vocabulary <ul><li>Sample Space : is all possible outcomes for an activity or experiment. </li></ul><ul><ul><li>Rolling a die: 1, 2, 3, 4, 5, 6 (6 possible outcomes) </li></ul></ul><ul><ul><li>Tossing a coin: Heads, Tails (2 possible outcomes) </li></ul></ul><ul><ul><li>Drawing a card: 52 cards (52 possible outcomes) </li></ul></ul>
8. 8. Vocabulary <ul><li>Theoretical probability : what’s suppose to happen P(event) = Number of favorable outcomes </li></ul><ul><li> Number of possible outcomes </li></ul><ul><li>Experimental probability : is based on the results of a sample or experiment. (what actually happened) </li></ul><ul><li>P(event) = Number of favorable outcomes </li></ul><ul><li> Total number of times the experiment was performed </li></ul>
9. 9. Kari and Susie are playing a game with three colored markers- green, red and blue. On her next turn, if Susie chooses a marker at random and it is green, she wins the game. What are the outcomes that could happen? green, red, blue What is the probability of choosing a green marker? 1/3, 0.3, 33 1/3%
10. 10. Nicole found out that Jessica was born in May. What is the probability that she can guess the correct date of Jessica’s birthday on the first try? How many outcomes are possible? 31 days in May What is the probability of the event? 1/31
11. 11. More Probability and other stuff If you roll one die what is the probability that the number that shows is greater than 4? If I roll one die the probability that the number that shows is greater than 4 is 2/6 which simplifies to 1/3. The possibilities would be 1, 2, 3, 4, 5, 6. The only two numbers greater than 4 would be 5 and 6.
12. 12. I have 3 pennies and 5 dimes in my pocket. If I pull out one coin what is the probability that I get a dime? The probability that I get a dime is 5 chances out of eight. 5/8, 0.625, 62.5%
13. 13. <ul><li>What is the probability that the spinner will land on . . </li></ul><ul><li>Red </li></ul><ul><ul><li>2/5, 0.4, 40% </li></ul></ul><ul><li>Red or blue </li></ul><ul><ul><li>1, 1.0, 100% </li></ul></ul><ul><li>Green </li></ul><ul><ul><li>0, 0, 0% </li></ul></ul><ul><li>Not red </li></ul><ul><ul><li>3/5, 0.6, 60% </li></ul></ul>Red Red Blue Blue Blue
14. 14. EXAMPLE 2 Finding Experimental Probability You roll a number cube 100 times. Your results are given in the table below. Find the experimental probability of rolling a 6 . = 0.18 = 18% P (rolling a 6 ) = 18 100 Number of favorable outcomes Total number of rolls The experimental probability of rolling a 6 is 18% or 9/50 . ANSWER
15. 15. EXAMPLE 2 Finding Experimental Probability You roll a number cube 100 times. Your results are given in the table below. Find the experimental probability of rolling a 1 or 2 . = 0.32 = 32% 17+15= 32 P (rolling a 1 or 2 ) = 32 100 Number of favorable outcomes Total number of rolls The experimental probability of rolling a 1 or 2 is 32% or 8/25 . ANSWER
16. 16. <ul><li>Explain the difference between experimental and theoretical probability. </li></ul><ul><li>Janet says that experimental probability can exceed 1. Is this true? If so, give an example. </li></ul>
17. 17. Homework <ul><li>Page 383 #1-13, 20-23 </li></ul><ul><li>#20-23: </li></ul>Y R B Y R B R G