Worksheet titled "Probability of a Chance Event - Independent Practice Worksheet" featuring 10 probability questions involving real-world situations like ice cream, books, and vehicles.

Let’s go through each problem one by one. I’ll solve them step by step, check my work, and then give you the final answers at the end.

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Problem 1:
> A container contains 5 yellow, 2 orange, and 6 pink roses. Without looking, if James chooses a rose from this container, what is the probability that James will select an orange rose? Give your answer as a fraction.

Total roses = 5 (yellow) + 2 (orange) + 6 (pink) = 13

Orange roses = 2

Probability = favorable outcomes / total outcomes = 2/13

✔ Checked: 2 out of 13 — correct.

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Problem 2:
> Sophia throws a birthday party. There are 7 bowls of ice cream at the party, 4 of which contain chocolate ice cream. What is the probability that a randomly selected bowl will have chocolate ice cream?

Total bowls = 7

Chocolate bowls = 4

Probability = 4/7

✔ Simple fraction — no simplification needed.

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Problem 3:
> Jayden goes to the market and purchases some fruit. There are 10 pieces of fruit in his basket, including 5 apples. What is the probability that a randomly selected piece of fruit will be an apple?

Total fruit = 10

Apples = 5

Probability = 5/10 = 1/2

✔ Simplified correctly.

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Problem 4:
> One has a car rental agency. He has 15 vehicles available, 9 of which are Cooper Minis. What is the probability that a randomly selected vehicle will be a Cooper Mini?

Total vehicles = 15

Cooper Minis = 9

Probability = 9/15 → simplify by dividing numerator and denominator by 3 → 3/5

✔ Correctly simplified.

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Problem 5:
> Ryan has a school bag. He has 8 books, 6 of which are math books. What is the probability that a randomly selected book will be a math book?

Total books = 8

Math books = 6

Probability = 6/8 → simplify by dividing by 2 → 3/4

✔ Correct.

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Problem 6:
> Harper organizes an office party. There are 20 glasses of cold drinks at the party, 13 of which contain a lemon flavored drink. What is the probability that a randomly selected glass will be lemon-flavored?

Total glasses = 20

Lemon-flavored = 13

Probability = 13/20

✔ Already in simplest form.

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Problem 7:
> Elizabeth has a toy box. The box contains 3 toy cars, 2 dolls, and 5 balls. Without looking, 1 toy is pulled out. What is the probability that the toy will be a “Toy Car”?

Total toys = 3 (cars) + 2 (dolls) + 5 (balls) = 10

Toy cars = 3

Probability = 3/10

✔ Correct.

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Problem 8:
> Stella has a bouquet. There are three types of flowers in the bouquet: Red roses, Lilies, and Sunflowers. The probability of getting a Red rose is 1/4 and the probability of getting Lilies is 3/8. What is the probability of getting a Sunflower?

We know all probabilities must add up to 1.

So:

P(Red) + P(Lilies) + P(Sunflower) = 1

→ 1/4 + 3/8 + P(Sunflower) = 1

Convert 1/4 to eighths: 1/4 = 2/8

So: 2/8 + 3/8 = 5/8

Then: P(Sunflower) = 1 - 5/8 = 3/8

✔ Makes sense — checks out.

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Problem 9:
> Connor has lots of colored paper. There are 48 papers in a bundle, 20 of which contain yellow paper. What is the probability of selecting a yellow piece of paper?

Total papers = 48

Yellow = 20

Probability = 20/48 → simplify by dividing numerator and denominator by 4 → 5/12

✔ 20 ÷ 4 = 5; 48 ÷ 4 = 12 → correct.

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Problem 10:
> Michael has a bus rental agency. He has 18 buses available, 9 of which air conditioning (A.C.). What is the probability that a randomly selected vehicle will be an A.C bus?

Total buses = 18

A.C. buses = 9

Probability = 9/18 = 1/2

✔ Simplified correctly.

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Final Answer:
1. 2/13
2. 4/7
3. 1/2
4. 3/5
5. 3/4
6. 13/20
7. 3/10
8. 3/8
9. 5/12
10. 1/2