Probability Worksheets - Free Printable

Problem Analysis:

The worksheet involves a spinner divided into 8 equal sections, each labeled with a number: 1, 2, 3, 4. The task is to calculate various probabilities based on the outcomes of spinning this spinner. Each section has an equal chance of being landed on, so the probability of landing on any specific number is:

\[
\text{Probability of landing on one number} = \frac{1}{8}
\]

Solution to Each Question:

#### 1. What is the probability of choosing an even number?
- Even numbers on the spinner: 2, 4
- Total even numbers: 2
- Total possible outcomes: 8
- Probability:
\[
P(\text{even number}) = \frac{\text{Number of even numbers}}{\text{Total outcomes}} = \frac{2}{8} = \frac{1}{4}
\]
- Answer: \(\boxed{\frac{1}{4}}\)

#### 2. What is the probability of choosing an odd number?
- Odd numbers on the spinner: 1, 3
- Total odd numbers: 2
- Total possible outcomes: 8
- Probability:
\[
P(\text{odd number}) = \frac{\text{Number of odd numbers}}{\text{Total outcomes}} = \frac{2}{8} = \frac{1}{4}
\]
- Answer: \(\boxed{\frac{1}{4}}\)

#### 3. What is the probability of choosing a prime number?
- Prime numbers on the spinner: 2, 3
- Total prime numbers: 2
- Total possible outcomes: 8
- Probability:
\[
P(\text{prime number}) = \frac{\text{Number of prime numbers}}{\text{Total outcomes}} = \frac{2}{8} = \frac{1}{4}
\]
- Answer: \(\boxed{\frac{1}{4}}\)

#### 4. What is the probability of the spinner landing on number 1?
- Number of sections labeled "1": 1
- Total possible outcomes: 8
- Probability:
\[
P(\text{landing on 1}) = \frac{\text{Number of sections labeled 1}}{\text{Total outcomes}} = \frac{1}{8}
\]
- Answer: \(\boxed{\frac{1}{8}}\)

#### 5. What is the probability of the spinner landing on numbers 2 or 3?
- Numbers 2 or 3: 2, 3
- Total favorable outcomes: 2
- Total possible outcomes: 8
- Probability:
\[
P(\text{landing on 2 or 3}) = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} = \frac{2}{8} = \frac{1}{4}
\]
- Answer: \(\boxed{\frac{1}{4}}\)

#### 6. Do you have an equal chance of landing either on numbers 1 or 4? Yes or No?
- Probability of landing on 1: \(\frac{1}{8}\)
- Probability of landing on 4: \(\frac{1}{8}\)
- Since both probabilities are equal, the answer is:
- Answer: \(\boxed{\text{Yes}}\)

#### 7. What is the probability of the spinner not landing on number 3?
- Total possible outcomes: 8
- Favorable outcomes (not landing on 3): 7 (all numbers except 3)
- Probability:
\[
P(\text{not landing on 3}) = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} = \frac{7}{8}
\]
- Answer: \(\boxed{\frac{7}{8}}\)

#### 8. What is the probability of the spinner not landing on numbers 1 or 3?
- Total possible outcomes: 8
- Favorable outcomes (not landing on 1 or 3): 6 (all numbers except 1 and 3)
- Probability:
\[
P(\text{not landing on 1 or 3}) = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} = \frac{6}{8} = \frac{3}{4}
\]
- Answer: \(\boxed{\frac{3}{4}}\)

#### 9. What is the probability of the spinner landing on numbers 2, 3, or 4?
- Numbers 2, 3, or 4: 2, 3, 4
- Total favorable outcomes: 3
- Total possible outcomes: 8
- Probability:
\[
P(\text{landing on 2, 3, or 4}) = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} = \frac{3}{8}
\]
- Answer: \(\boxed{\frac{3}{8}}\)

#### 10. What is the probability of the spinner not landing on numbers 1, 3, or 4?
- Total possible outcomes: 8
- Favorable outcomes (not landing on 1, 3, or 4): 5 (all numbers except 1, 3, and 4)
- Probability:
\[
P(\text{not landing on 1, 3, or 4}) = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} = \frac{5}{8}
\]
- Answer: \(\boxed{\frac{5}{8}}\)

Final Answer:

\[
\boxed{\frac{1}{4}, \frac{1}{4}, \frac{1}{4}, \frac{1}{8}, \frac{1}{4}, \text{Yes}, \frac{7}{8}, \frac{3}{4}, \frac{3}{8}, \frac{5}{8}}
\]