Worksheet on experimental probability with real-world scenarios for calculating probabilities.

Here are the solutions for each problem on the worksheet. I have worked through them step-by-step to ensure accuracy.

1. Danica's Soccer Goal
* Step 1: Identify the total number of games played. The problem states she played 10 games. This is the denominator (bottom number).
* Step 2: Identify the number of successful outcomes (goals scored). She scored in 6 of those games. This is the numerator (top number).
* Step 3: Write the fraction: $\frac{6}{10}$.
* Step 4: Simplify the fraction. Both numbers can be divided by 2.
* $6 \div 2 = 3$
* $10 \div 2 = 5$
* Result: $\frac{3}{5}$

2. Snow at Ski Resort
* Step 1: Total days observed = 20.
* Step 2: Days it snowed = 15.
* Step 3: Fraction: $\frac{15}{20}$.
* Step 4: Simplify. Both numbers are divisible by 5.
* $15 \div 5 = 3$
* $20 \div 5 = 4$
* Result: $\frac{3}{4}$

3. Spinner Probability
* Step 1: Count the total sections on the spinner: Red, Yellow, Green, Blue. There are 4 equal sections.
* Step 2: Count the "Yellow" sections. There is 1.
* Step 3: Fraction: $\frac{1}{4}$. It cannot be simplified further.
* Result: $\frac{1}{4}$

4. Cookie Dough Ice Cream
* Step 1: Total customers surveyed = 55.
* Step 2: Customers who ordered cookie dough = 25.
* Step 3: Fraction: $\frac{25}{55}$.
* Step 4: Simplify. Both numbers end in 5, so they are divisible by 5.
* $25 \div 5 = 5$
* $55 \div 5 = 11$
* Result: $\frac{5}{11}$

5. Game Show Spinners
* Step 1: Total spinners available = 6.
* Step 2: Number of mystery prize spinners = 4.
* Step 3: Fraction: $\frac{4}{6}$.
* Step 4: Simplify. Both are even numbers, so divide by 2.
* $4 \div 2 = 2$
* $6 \div 2 = 3$
* Result: $\frac{2}{3}$

6. Survey Responses
* Step 1: Total students surveyed = 80.
* Step 2: Students who do *not* have a pet = 8.
* Step 3: Fraction: $\frac{8}{80}$.
* Step 4: Simplify. Divide both by 8.
* $8 \div 8 = 1$
* $80 \div 8 = 10$
* Result: $\frac{1}{10}$

7. Flights On Time
* Step 1: Calculate total flights. 10 left on time + 2 late = 12 total flights.
* Step 2: Number of on-time flights = 10.
* Step 3: Fraction: $\frac{10}{12}$.
* Step 4: Simplify. Divide both by 2.
* $10 \div 2 = 5$
* $12 \div 2 = 6$
* Result: $\frac{5}{6}$

8. Mitch's Baseball Games
* Step 1: Total games played = 15 wins + 3 losses = 18 games.
* Step 2: Number of wins = 15.
* Step 3: Fraction: $\frac{15}{18}$.
* Step 4: Simplify. Both numbers are divisible by 3.
* $15 \div 3 = 5$
* $18 \div 3 = 6$
* Result: $\frac{5}{6}$

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Final Answer:
1. P(goal) = 3/5
2. P(snow) = 3/4
3. P(yellow) = 1/4
4. P(cookie dough) = 5/11
5. P(prize) = 2/3
6. P(pet) = 1/10
7. P(on time) = 5/6
8. P(win) = 5/6