Probability Quiz Worksheet with Questions on Random Selection and Odds

Let's solve each question in the Probability Quiz step by step and explain the reasoning behind each answer.

---

1. In the word "BANANA", what is the letter that would most likely be picked at random?

Step 1: Count how many times each letter appears in "BANANA":
- B: 1
- A: 3
- N: 2

Step 2: The letter with the highest frequency is A, which appears 3 times.

Answer: ✔ A

> Explanation: Since "A" appears more frequently than any other letter, it has the highest probability of being selected at random.

---

2. A box contains 9 red marbles, 12 blue marbles, 13 green marbles, and 6 white marbles. What is the probability of taking out a red marble?

Step 1: Total number of marbles:
= 9 (red) + 12 (blue) + 13 (green) + 6 (white)
= 40 marbles

Step 2: Number of red marbles = 9

Step 3: Probability of picking a red marble:
= (Number of red marbles) / (Total marbles)
= 9 / 40

Answer: ✔ 9/40

> Explanation: This is a basic probability formula: favorable outcomes over total possible outcomes.

---

3. If you chose a number at random below, what is the probability of picking an even number?

Numbers: 3, 12, 15, 9, 5, 14, 21, 17

Step 1: Identify even numbers:
- Even numbers: 12, 14 → 2 even numbers
- Odd numbers: 3, 15, 9, 5, 21, 17 → 6 odd numbers

Total numbers = 8

Step 2: Probability of picking an even number:
= Number of even numbers / Total numbers
= 2 / 8 = 1/4

Answer: ✔ 1/4

> Explanation: Only two numbers are even, so the chance of selecting one randomly is 2 out of 8, simplified to 1/4.

---

4. What is the probability of picking an odd number from the list below?

Numbers: 46, 44, 8, 22, 14, 12, 3, 7

Step 1: Identify odd numbers:
- Odd numbers: 3, 7 → 2 odd numbers
- Even numbers: 46, 44, 8, 22, 14, 12 → 6 even numbers

Total numbers = 8

Step 2: Probability of picking an odd number:
= 2 / 8 = 1/4

Answer: ✔ 1/4

> Explanation: Only two numbers (3 and 7) are odd, so the probability is 2/8 or 1/4.

---

5. What is the probability of choosing the letter "O" in SCHOOL?

Step 1: Write the word: SCHOOL

Letters: S, C, H, O, O, L → total of 6 letters

Count the number of O's: There are 2 O's

Step 2: Probability of picking "O":
= Number of O's / Total letters
= 2 / 6 = 1/3

Answer: ✔ 1/3

> Explanation: Two out of six letters are "O", so the probability is 2/6, which simplifies to 1/3.

---

6. There are 11 oranges, 6 apples, 9 bananas, and 13 peaches on the table. What is the probability of picking an orange?

Step 1: Total number of fruits:
= 11 (oranges) + 6 (apples) + 9 (bananas) + 13 (peaches)
= 39 fruits

Step 2: Number of oranges = 11

Step 3: Probability of picking an orange:
= 11 / 39

This fraction cannot be simplified further.

Answer: ✔ 11/39

> Explanation: The probability is based on favorable outcomes (oranges) over total possible outcomes (all fruits).

---

✔ Final Answers Summary:

1. A
2. 9/40
3. 1/4
4. 1/4
5. 1/3
6. 11/39

Let me know if you'd like these answers formatted for printing or explained in simpler terms!