WDYE? 2.4: Winning the Bonus Prize Learning Target: I will analyze theoretical and experimental probabilities in a compound event. HW: Complete the WDYE.

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WDYE? 2.4: Winning the Bonus Prize Learning Target: I will analyze theoretical and experimental probabilities in a compound event. HW: Complete the WDYE Investigation 2.4 p. 7 and Correct with the Zaption video: WDYE Warm Up: 50 students at Maywood were surveyed about their favorite ice cream flavor. The results are shown below. Ice Cream FlavorNumber of People Who Prefer Vanilla10 Chocolate Chip Mint24 Oreo10 Chocolate Brownie Fudge6 What is the probability that a student’s favorite ice cream flavor is Oreo? Use proper notation! What is the probability that a student’s favorite ice cream flavor is not Chocolate Brownie Fudge? Use proper notation!

Warm Up Ice Cream FlavorNumber of People Who Prefer Vanilla10 Chocolate Chip Mint24 Oreo10 Chocolate Brownie Fudge6 50 students at Maywood Middle school were surveyed about their favorite ice cream flavor. The results are shown below. What is the probability that a student’s favorite ice cream flavor is Oreo? Use proper notation! What is the probability that a student’s favorite ice cream flavor is not Chocolate Brownie Fudge? Use proper notation! P(Oreo) = 10/50 = 1/5 P(not CBF) = 1 – P(CBF) = 1 – 6/50 = 44/50 = 22/25

p. 5 _________________ Compound Event

B. 1. Find the experimental probability of choosing each possible pair of colors. Use proper notation!

2. Make a tree diagram to show all of the possible pairs. List all of the possible outcomes. Start First Bag Second Bag OutcomeProbability Events:

Tree Diagram Choosing a block from 2 bags Start First Bag Second Bag OutcomeProbability R Y B R R R Y Y Y B B B RR R R YY Y Y Y Y R R B B B B B B KEY Events:

P (contestant will win the bonus prize) = 1/9 3. Find the theoretical probability of choosing each pair of colors. Use probability notation! 4. Are all of the outcomes equally likely? Explain your reasoning. 5. How do the theoretical probabilities compare with your experimental probabilities? Explain any differences. Yes! There are 9 possible outcomes. Each one is equally likely.

P (RR) = 1/9 Akimi only has a 1/9 chance of winning. P (BR or RB) = 2/9 Brelynn has a greater chance of winning

Yes, each contestant has a 1/9 chance of winning the bonus prize. No, it is not likely they will win. There is a greater chance of losing. P (winning) = 2/18 You would expect to win only 2 out the 18 times played. Hint: Write a proportion

D. Melissa is designing a birthday card for her sister. She has a blue, a yellow, a pink, and a green sheet of paper. She also has a black, a red, and a purple marker. Suppose Melissa chooses one sheet of paper and one marker at random. 1. Make a tree diagram of all the possible color combinations. List all of the possible outcomes. Start Events: Paper MarkerOutcomes

2. What is the probability that Melissa chooses pink paper and a red marker? Use probability notation! 3. What is the probability that Melissa chooses blue paper? 4. What is the probability that she does not choose blue paper? 5. What is the probability that she chooses a purple marker?

WDYE? 2.4: Winning the Bonus Prize Did I reach my Learning Target: I will analyze theoretical and experimental probabilities in a compound event. HW: Complete the WDYE Investigation 2.4 p. 7 and Correct with the Zaption video: WDYE 2.4 * Parent Signature, packet #1