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# Probability of Multiple Events

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• 1. Spinner Mania! Finding Probability of Multiple Events Grade 7, Mrs. Vigliotta What Do You Expect? Connected Mathematics Project, CMP 2 Click on each of the spinners below to see them in action! Spinner A Spinner B
• 2. What is the probability of each outcome? To answer these questions, you first need to find a way to organize all possible outcomes. If you were to spin Spinner A once and then Spinner B once, how many outcomes exist? Spinner A Spinner B
• 3. Which tool do you want to use to organize your outcomes? Click on one of the two choices below to review how they are made.
• 4. <ul><li>The first event is spinning spinner A. </li></ul><ul><li>To start the tree diagram, write the word “start.” </li></ul><ul><li>Next, write the possible outcomes of spinning spinner A as the branches of the tree diagram. </li></ul>GO ON GO BACK Spinner A Event 1 Spinner A
• 5. <ul><li>The second event is spinning spinner B. </li></ul><ul><li>To add Spinner B’s outcomes, create branches for every possible color outcome. These new branches should connect to each outcome in event one. </li></ul>GO ON GO BACK Spinner B Event 1 Spinner A Event 2 Spinner B
• 6. <ul><li>The last step is to list all of the outcomes and their probability. </li></ul><ul><li>Write the color from spinner A and then follow the branches to see it combined with the colors from spinner B. </li></ul><ul><li>Next, the probability is the chance of the color combination occurring divided by the total number of outcomes. </li></ul>GO ON GO BACK
• 7. GO ON GO BACK Event 1 Spinner A Event 2 Spinner B Outcomes Probability 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12
• 8. GO ON GO BACK <ul><li>What is the probability of spinning a green and red? </li></ul><ul><li>The green/red combination occurs two times out of 12, so the probability is 2/12 or 1/6. </li></ul>Event 1 Spinner A Event 2 Spinner B Outcomes Probability 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12
• 9. Now can you answer the questions from the beginning of the presentation? On a piece of loose leaf, write the answers to these three questions. If you need help, click on the links below to take you back to the final products. <ul><li>If you were to spin Spinner A once and then Spinner B once, how many outcomes exist? </li></ul><ul><li>What is the probability of each outcome? </li></ul><ul><li>What is the probability of spinning the same color on both spinners? </li></ul>Click the flag to find the final directions.
• 10. Event 1 Spinner A <ul><li>The first event is spinning spinner A. </li></ul><ul><li>To start the area model, draw a square. </li></ul><ul><li>Next, write the possible outcomes of spinning spinner A down the left side of the square. </li></ul><ul><li>Make sure you divide the square into equal sections! </li></ul>Spinner A GO ON GO BACK G R Y
• 11. <ul><li>The second event is spinning spinner B. </li></ul><ul><li>To add spinner B’s outcomes, write the colors on the top side of the square. </li></ul><ul><li>Make sure you divide the square into equal sections! </li></ul>GO ON GO BACK Event 2 Spinner B Event 1 Spinner A G R Y Spinner B G R Y B
• 12. <ul><li>The final step is to write all of the color combinations in the appropriate box. </li></ul><ul><li>For example, the upper left box would be the outcome of spinning a green on spinner A and a green on spinner B. </li></ul>GO ON GO BACK Event 2 Spinner B Event 1 Spinner A G R Y GG GR GY GB RG RR RY RB YG YR YY YB G R Y B
• 13. <ul><li>The probability of each outcome is the chance of the color combination occurring divided by the total number of outcomes. </li></ul><ul><li>For example, getting a red followed by a blue only happens one time out of 12. The probability is 1/12. </li></ul>GO ON GO BACK Event 2 Spinner B Event 1 Spinner A G R Y GG GR GY GB RG RR RY RB YG YR YY YB G R Y B
• 14. Now can you answer the questions from the beginning of the presentation? On a piece of loose leaf, write the answers to these three questions. If you need help, click on the links below to take you back to the final products. <ul><li>If you were to spin Spinner A once and then Spinner B once, how many outcomes exist? </li></ul><ul><li>What is the probability of each outcome? </li></ul><ul><li>What is the probability of spinning the same color on both spinners? </li></ul>Click the flag to find the final directions.
• 15. Your next step is to view the presentation for the tool that you did not pick the first time. For example, if you choose Tree Diagrams, you should now watch the Area Model presentation. Click on the links below to take you to the presentation you have not seen yet. Enjoy! Once you have watched both presentations, click here.
• 16. <ul><li>Use this checklist to make sure you completed all requirements: </li></ul><ul><li>I viewed the Tree Diagram or the Area Model presentation first. </li></ul><ul><li>Next, I answered the three questions on loose leaf. </li></ul><ul><li>My name, date, and block are on the piece of loose leaf. </li></ul><ul><li>I viewed the presentation I did not pick the first time. </li></ul><ul><li>Please turn in the piece of loose leaf to Mrs. Vigliotta! </li></ul><ul><li>Congratulations! You are finished! </li></ul>