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The Addition Rule

The Addition Rule. Section 4-3. Quick Definitions. Compound Event Any event combining two or more simple events. Notation for Addition Rule. Example. The following table represents results from a p olygraph test:

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The Addition Rule

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  1. The Addition Rule Section 4-3

  2. Quick Definitions • Compound Event • Any event combining two or more simple events

  3. Notation for Addition Rule

  4. Example • The following table represents results from a polygraph test: • What is the probability of a test subject lying or having a positive test result?

  5. Formal Addition Rule • Subtracting the probability that both could occur in a single event eliminates any double counting.

  6. Example • The following table represents results from a polygraph test: • What is the probability of a test subject lying or having a positive test result?

  7. Example • Calculate the probability of rolling a multiple of 3 or an odd number on a 6 sided die.

  8. Example • Calculate the probability of rolling a multiple of 3 or a 4 on an 6 sided die.

  9. Disjoint Probability • Events A and B are disjoint if it is not possible for both to occur at the same time. • Talk with your partner… • Can you come up with 3 examples of disjoint events?

  10. Union/Intersect Notation

  11. Question?????? • How does our formula change if we have disjoint events?

  12. Applying the Addition Rule

  13. Homework • P.156-158 #5-11 (odd), 17-20, 27-32

  14. Section 4.3 – Day 2

  15. Disjoint or not? • John getting stung by a bee • John not getting stung by a bee • John getting stung by a bee • John crying.

  16. Disjoint or not? • Coke machine gives Amy a soda • Coke machine give Amy a bottled beverage

  17. Disjoint or not? • Coke machine gives AWOL a soda • Coke machine gives AWOL a water

  18. Disjoint or not? • Alex eats a piece of pie. • Alex eats something with chocolate to cope with not having enough CPS homework.

  19. Disjoint or not? • Ryan plays football at OHS • Ryan play basketball at OHS • Ryan plays football at OHS • Ryan leads the Varsity Cheer Squad at OHS

  20. Example

  21. Example Find the probability Mr. Llorens cried at the end of the Titanic Movie

  22. Calculate the Probability • What is the probability of card master Helen getting an even numbered card (face cards aren’t even) or a diamond from a fair deck?

  23. Calculate the Probability • Use the table below to determine the probability of randomly selecting a basketball player or wrestler from the student body

  24. Disjoint or not? • Conducting a Pew Research Center poll and randomly selecting a subject who is a republican • Conducting a Pew Research Center poll and randomly selecting a subject who is a democrat

  25. Disjoint or not? • On his weekly bug hunting night, Mayo finds a firefly with red eyes. • On his weekly bug hunting night, Mayo finds a firefly with brown eyes

  26. Disjoint or not? • Randomly selecting someone treated with the cholesterol-reducing drug Lipitor • Randomly selecting someone treated with the cholesterol-reducing drug Maxifane

  27. Disjoint or not? • Randomly selecting a college graduate • Randomly selecting someone who is homeless

  28. Calculate the Probability • Find the probability of Lauren rolling a 1 or a 2 on a 6 sided die.

  29. Calculate the Probability • Find the probability of Lyndsie pulling a king or a heart from a fair deck.

  30. Calculate the Probability • The table below represents the amount of time people waited in line before One Direction concert tickets went on sale. What is the probability of waiting less than 2 hours or more than 8 hours? Anthony and Anthony

  31. Calculate the Probability • A sample of 100 wood and 100 graphite toothpicks are taken from a restaurant. If 7 wood and 12 graphite toothpicks are known to be poison tipped, and one toothpick is chosen at random, find the probability that the toothpick is wood or deadly!

  32. Homework Pg. 158 #21-26

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