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Probability of Compound Events

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keefer
18 diapositives · 729 Views · Jun 08, 2012

Standards: MM1D2a. Find the probabilities of mutually exclusive events. b. Find the probabilities of dependent events. c. Calculate conditional probabilities. Probability of Compound Events.

#conditional probability #contingent probability #luck #statistical independence #borel-cantelli lemma #independent #joint probability #chance
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Probability of Compound Events
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  1. Standards: MM1D2a. Find the probabilities of mutually exclusive events.b. Find the probabilities of dependent events.c. Calculate conditional probabilities. Probability of Compound Events

  2. 1. Take out a piece of notebook paper and make a hot dog fold over from the right side over to the pink line. Foldable Time!

  3. 2. Now, divide the right hand section into 4 sections by drawing 3 evenly spaced lines. 3. Use scissors to cut along your drawn line, but ONLY to the crease! The fold crease

  4. 4. Write COMPOUND EVENTS down the left hand side Compound Events

  5. 5. Fold over the top cut section and write MUTUALLY EXCLUSIVE EVENTS on the outside. On the remaining 3 flaps, write: OVERLAPPING EVENTS INDEPENDENT EVENTS and DEPENDENT EVENTS Compound Events Mutually Exclusive Events

  6. Compound Event Combines two or more events, using the word AND or OR

  7. Mutually Exclusive Events Events that have no common outcomes Formula:

  8. Overlapping Events Events that have at least one common outcome Formula:

  9. Independent Events Events that have no effect on each other Formula:

  10. Dependent Events Events where the occurrence of one affects the occurrence of another Formula:

  11. Conditional Probability Used with DEPENDENT events: The probability that one event will occur given that another event has already occurred. EX. The probability of B given A; Key Concept: NON-REPLACEMENT

  12. Example 1

  13. You Try!

  14. Example 2

  15. You Try!

  16. Example 3

  17. You Try!

  18. Classify the compound events given below as either independent or dependent Rolling a die, then rolling a second die Drawing a card for a hand of poker, then drawing another card Picking a prize from a grab bag, then picking another Spinning a $100 slice on Wheel of Fortune, then spinning another $100 slice