Q5-3 Carnival Day
Here is the Video for this Quiz in case you get stuck and need a little more help. You can also email me at ssheridan@alpinedistrict.org, or drop into the classroom for help. Goal on quizzes is above an 80%. Please redo it until you conquer!
Video Link
🎪 CARNIVAL AUDIT 🎪
Protocol 5D: Compound Events
1. The Duck Pond
There are 29total ducks floating in the pond.
- 9have a Star (Winners).
- The rest are Blank.
You pick one, KEEP IT (No Replacement), then pick another.
Is this event Independent or Dependent?
Calculate P(Winner AND Winner):
× = =_______%
* = = %
2. Ring Toss (Union)
A student threw 55 rings.
- 26 landed on Red.
- 14 landed on Blue.
- 7 landed on BOTH.
Calculate P(Red OR Blue):
Answer: %
3. Snack Shack (Conditional)
| Salty | Sweet | Total | |
|---|---|---|---|
| Popcorn | 30 | 24 | 40 |
| Pretzel | 20 | 26 | 60 |
| Total | 50 | 50 | 100 |
Given that a customer ordered a Sweet snack, what is the probability they bought a Pretzel?
P(Pretzel | Sweet) = %
4. High Roller (Independent)
To win the Grand Prize, you must:
- Flip a coin and get Tails.
- Roll a 6-sided die and get a number less than 3 (1 or 2).
Calculate the probability of winning the Grand Prize:
Answer: %
5. The Candy Tree
A prize bag contains 9 Snickers and 3 Milky Ways.
You draw two candies without replacement.
Quest: Calculate P(One of Each).
Hint: This happens two ways: (Snickers THEN Milky) OR (Milky THEN Snickers).
Path 1 (S, M): × =
* =
Path 2 (M, S): × =
* =
Total Probability (Add them):
5. Concept Check
Why did the denominator change in the Duck Pond game but NOT in the High Roller game?
Because...
If you draw out a sock, and then draw out another sock without replacing the first sock. Is this event INDEPENDENT or DEPENDENT event?
What is the probability of getting the both black socks?
%
Probability of getting both White Socks?
%
Probability of getting the same color socks.
%
Probability of getting at least one black sock.
%