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1 Please place homework on your desk. 4/17 Problem of the Day Tony's mother purchases two bags of bagels from the bagel shop. One bag contains eight plain bagels and four cinnamon raisin bagels. The other bag contains two blueberry, four banana nut, and six apple nut bagel What is the probability of Tony randomly selecting the following? (a) One plain and one banana nut bagel (b) One plain and one apple nut bagel (c) One cinnamon raisin and one blueberry bagel (d) One onion and one apple nut bagel 1
2 4/17 Lesson 7: Calculating Probabilities of Compound Events (Dependent Events) 2
3 Fill in the blanks. Dependent Events: The outcome of one event does affect the probability of the outcome of another event. (or not replaced) does not 3
4 Let's say that a teacher calls on students by drawing names from a cup. Independent Dependent The teacher calls on a student by drawing a stick, after the student has answered the question their name goes back in the cup with the rest of the students. The teacher calls on a student by drawing a stick, after the student has answered the question their name stays out of the cup until everyone else has been called on. A C B D Answers Question Answers Question A B C D 4
5 Independent Pick something, then return it Denominator stays the same each "pick" Item has the same probability of being "picked" each time. Key words: replaced, returned, put back. There can be multiple picks, as long as one item is picked at a time. Dependent Pick something, keep it out. Denominator decreases after each "pick" Item has a better probability of being "picked" each time until 1/1. Key words: Keep it, do not return. There can be multiple picks, as long as one item is picked at a time. 5
6 Determine whether each situation is Independent or Dependent. Drag the correct type of probability to each question. Independent A jar contains 6 blue, 3 red, 5 green, and 2 yellow candies. Once a candy is drawn it is returned to the jar. Find the probability of getting a green then a blue? Dependent A jar contains 6 blue, 3 red, 5 green, and 2 yellow candies. Once a candy is drawn it is not replaced. Find the probability of getting 2 greens? A card is drawn from a deck of eight cards with letters A, B, C, D, E, F, G, H. The card is replaced and a second card is drawn. What is the probability of getting a B and a F? A card is drawn from a deck of eight cards with letters A, B, C, D, E, F, G, H. The card is not replaced and a second card is drawn. What is the probability of getting a B and a F? 6
7 To solve for independent/dependent probability multiply the simple probability of each pick. Make sure to take into account if the item is replaced or kept. Independent Dependent A jar contains 6 blue, 3 red, 5 green, and 2 yellow candies. Once a candy is drawn it is replaced. Find the probability of getting 2 greens? A jar contains 6 blue, 3 red, 5 green, and 2 yellow candies. Once a candy is drawn it is not returned to the jar. Find the probability of getting a green then a blue? 7
8 Guided Practice: A B C D E F G H A card is drawn from a deck of eight cards with letters A, B, C, D, E, F, G, H. The card is not replaced and a second card is drawn. What is the probability of getting a B and a F? 1 56 Solution 8
9 Work with your shoulder partner to solve for the independent or dependent probability as appropriate. Move the red check inside the green box to see the correct solution. A jar contains 6 blue, 3 red, 5 green, and 2 yellow candies. 1. P(two blue candies) if not replaced. 2. P(a red then green) if not replaced. 3. P(three greens) if not replaced. 9
10 Box: Mrs. Eshelman (not replacing letters) P(e) P(l,e) P(m, e, n) P(m, m) P(s, o, a) 10
11 TEST ON THURSDAY (200 POINTS). 11
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WORKSHEET 5: PROBABILITY Name: Section: Date: Answer the following problems and show computations on the blank spaces provided. 1. In a class there are 14 boys and 16 girls. What is the probability of
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