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- 1. 8th Grade Math Data and Probability Unit<br />Dependent and Independent Events<br />
- 2. What is a dependent event?<br />If the outcome of one event affects the outcome of another, then the events are said to be Dependent Events.<br />Example:<br />Taking out a marble from a bag containing some marbles and not replacing it, and then taking out a second marble are dependent events.<br />
- 3. What is an independent event?<br />Independent events are events where the outcome of one event does not affect the outcome of the other events<br />Example:<br />Tossing a coin and rolling a number cube are independent events.<br />
- 4. New Vocabulary Terms<br />Event – An Event is a one or more outcome of an experiment.<br />Example: Rolling a die; you could get a 1,2,3,4,5, or 6. Those are your possible events.<br />Example: Rolling a die and tossing a coin; you could get a 3 and heads, that is an example of an event.<br />Outcome - A possible result of a probability experiment is called an outcome.<br />Example: Head is a possible outcome when a coin is tossed. <br />
- 5. Sample Problem #1<br />Morgan rolls a die twice. What is the probability she gets a two both times?<br />Is this event dependent or independent?<br />Does one event affect the outcome of the other?<br />
- 6. Solution to Problem #1<br />This event is independent because the roll of a die one time does not affect the roll of a die the next time.<br />Therefore, the first chance is 1 out of 6 and the second chance is 1 out of 6.<br />So the probability of rolling a two both times is:<br />1/6 x 1/6 = 1/36 <br />
- 7. Sample Problem #2<br />A deck of cards has 5 yellow, 3 violet, 3 purple, 4 blue, and 5 pink cards. You pick 2 cards from the deck. Cards are not returned to the deck after they are picked. What is the P(the first card is purple and the second card is pink)?<br />Is this event dependent or independent?<br />Does one event affect the outcome of the other?<br />
- 8. Solution to Problem #2<br />This event is dependent because one event is affected by the outcome of the other event. <br />Also we know by the word not returned.<br />First we need to know how many cards there are 5 yellow + 3 violet + 3 purple + 4 blue + 5 pink = 20 cards<br />P(the first card is purple and the second card is pink)<br />3 purple out of 20 cards, then 5 pink out of 19 cards<br />3/20 x 5/19 = 15/380 = 3/76<br />
- 9. Sample Problem #3<br />There are 6 red, 6 black, and 6 gray marbles in a hat. You pick 3 marbles from the hat. Marbles are not returned after they have been drawn. What is the P(three gray marbles in a row)?<br />Is this event dependent or independent?<br />Does one event affect the outcome of the other?<br />
- 10. Solution to Problem #3<br />This event is dependent because one event is affected by the outcome of the other event. <br />Also we know by the word not returned.<br />First we need to know how many marbles there are 6 red + 6 black + 6 gray = 18 marbles.<br />P(three gray marbles in a row)<br />6 gray out of 18, then 5 gray out of 17, then 4 gray out of 16.<br />6/18 x 5/17 x 4/16 = 120/4896 = 5/204<br />
- 11. How to complete the assignment<br />Paste each independent question here<br />Paste each dependent question here<br />Name<br />Name<br />
- 12. Answer Sheet<br />You need to pick 6 problems from the dependent sheet and 6 from the independent sheet and answer them. <br />Show the fractions you are multiplying together for each problem on your answer sheet.<br />Finally answer the story problems and short answer ?<br />
- 13. When is it due?<br />This whole assignment : both dependent & independent sheets, the answer sheet with 12 problems, and the story problems are due:<br />MONDAY, March 21st!<br />If you need to go back and review how to do the problems and listen to my explanations again you can go to:<br />Mrsbrach.wikispaces.com <br />Click on the Math link on the left hand side and scroll down to Dependent and Independent Events PowerPoint <br />

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