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9.1 Simple Events

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9.1 Simple Events

1. 1. 9.1 Simple Events p370 Find the probability of a simple event
2. 2. Turn and Talk <ul><li>What outcomes can be obtained when a die is rolled? </li></ul><ul><li>What about when 2 dice are rolled? What sums can you get? </li></ul>
3. 3. REMOVE ONE Dice Game <ul><li>Draw the following number line. </li></ul><ul><li>2 3 4 5 6 7 8 9 10 11 12 </li></ul>
4. 4. <ul><li>Place 15 chips on your number line </li></ul><ul><ul><li>Each number can have zero or multiple chips </li></ul></ul><ul><li>To win be the first to remove all your chips </li></ul><ul><li>Chips are removed by rolling 2 die and getting their sum. (ex. Roll and 2 and 3 to get a sum of 5.) Then remove one chip that is covering that number. </li></ul><ul><li>Write a prediction about what numbers are best to cover and why. </li></ul>Before you place your chips...
5. 5. Let’s list all the possible outcomes This is called Sample Space .
6. 6. Concept map
7. 7. Ex. 1) What is the probability that we would roll a 2?
8. 8. Ex. 2) What is the probability of rolling an even number on a number cube?
9. 9. Ex. 3) In Parcheesi, you can move your game piece if you roll a total of 5 on two dice, or if a 5 is shown on at least one die. What is the probability that we can move our game piece?
10. 10. The probability that something can happen is between 0 and 1. <ul><li>0 1 </li></ul>
11. 11. Discuss with a partner the probability (as a percent) that these events will happen. <ul><li>Next time you attend math class you will discuss math. </li></ul><ul><li>Next time your dog is hungry it will meow. </li></ul><ul><li>It will rain tomorrow. </li></ul><ul><li>Someone will solve the rubics cube this year. </li></ul><ul><li>The library has at least one book. </li></ul>
12. 12. Discuss <ul><li>What is the lowest probability possible? </li></ul><ul><li>What is the highest? </li></ul><ul><li>What is the range of probabilities possible? </li></ul><ul><li>Give an example of a probability of 0. </li></ul><ul><li>Give an example of a probability of 1. </li></ul>
13. 13. Complementary Events <ul><li>Either it will rain tomorrow or it won’t. </li></ul><ul><li>P (rain) + P (no rain) = 100% </li></ul><ul><li>P (rolling a 2) + P (not rolling a 2) = ____ </li></ul>
14. 14. Ex 4) In Parcheesi, you can move your game piece if you roll a total of 5 on two dice, or if a 5 is shown on at least one die. <ul><li>Find the probability that Jewel cannot move her game piece on one roll of the die. </li></ul>
15. 15. Ex 5) The probability that I will pick a boy is 3/8. What is the probability that I will not pick a boy?
16. 16. There is a bad that contains 3 blue, 4 green, and 2 yellow marbles. <ul><li>What is the probability of pulling a yellow marble from the bag? </li></ul><ul><li>What is the probability of pulling a blue marble from the bag? </li></ul><ul><li>What is the probability of pulling a green marble from the bag? </li></ul><ul><li>If you pull 2 marbles, what is the probability they will both be blue? </li></ul><ul><li>(Hint: draw a diagram.) </li></ul>
17. 17. Roll a 6-sided number cube. <ul><li>What is the probability of rolling a 2? </li></ul><ul><li>What is the probability of rolling a 3? </li></ul><ul><li>What is the probability of rolling an even number? </li></ul><ul><li>What is the probability of rolling an odd number? </li></ul>
18. 18. Spin the spinner to the right. <ul><li>What is the probability of spinning a 2? </li></ul><ul><li>What is the probability of spinning a 3? </li></ul><ul><li>What is the probability of spinning a 2 or 3? </li></ul><ul><li>What is the probability of spinning a 5? </li></ul><ul><li>What is the probability of spinning a 4 or less? </li></ul>1 4 2 3
19. 19. Journal <ul><li>How do you determine the probability of a specific event. </li></ul>
20. 20. Homework <ul><li>P 372: 1-3, 10-28 </li></ul>