1. WDYE? 2.4: Winning the Bonus Prize
1) Learning Target: I will analyze theoretical and experimental probabilities in a compound event.
2) HW Inv 2 Day 2 WDYE 2.4: Complete p. 7 and Correct with the EDpuzzle
3) Warm Up:
Ice Cream Flavor
Number of People
Who Prefer
Vanilla 10
Chocolate Chip Mint 24
Oreo
Chocolate Brownie Fudge 6
50 students at Maywood were surveyed about their favorite ice cream flavor. The results are shown below.
a) What is the probability that a student’s favorite ice cream flavor is Oreo? (Use proper notation!)
b) What is the probability that a student’s favorite ice cream flavor is not Chocolate Brownie Fudge? (Use proper notation!)

2. Warm Up P(Oreo) = 10/50 = 1/5 P(not CBF) = 1 – P(CBF)
50 students at Maywood Middle school were surveyed about their favorite ice cream flavor. The results are shown below.
Ice Cream Flavor
Number of People
Who Prefer
Vanilla 10
Chocolate Chip Mint 24
Oreo
Chocolate Brownie Fudge 6
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

4. p. 5
_________________
Compound Event

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

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

7. Tree Diagram Choosing a block from 2 bags
KEY
Events:
First Bag
Second Bag
Outcome
Probability R R R R Y R Y R B B R
Start Y R Y Y Y Y B Y B R B B R Y B Y B B B

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

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

10. You would expect to win only 2 out the 18 times played.
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.
Hint: Write a proportion
𝟏 𝟗 = 𝟐 𝟏𝟖
P (winning) = 2/18
You would expect to win only 2 out the 18 times played.

11. D. Melissa is designing a birthday card for her sister
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 Make a tree diagram of all the possible color combinations. List all of the possible outcomes.
Events:
Paper
Marker
Outcomes
Start

12. 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?

13. WDYE? 2.4: Winning the Bonus Prize
Did I reach my Learning Target: I will analyze theoretical and experimental probabilities in a compound event.
Homework: Inv 2 Day 2 WDYE 2.4: Complete p. 7 and Correct with the EDpuzzle