Probability Worksheets | Dynamically Created Probability Worksheets - Free Printable

Explanation:
We are given a standard dartboard and asked to find probabilities for different outcomes when one dart is thrown. To do this, we need to know:

- A standard dartboard has numbers from 1 to 20 arranged around the board.
- Each number appears once in the main scoring area (the numbered sections), so there are 20 equally likely numbers the dart can land on (assuming the dart always hits a numbered section — which is standard for these problems unless otherwise stated).
- The bullseye (inner and outer bull) is usually not counted unless specified; here, since the questions only refer to numbers like “even number”, “multiple of 4”, etc., and the diagram shows only the numbered ring (1–20), we assume the sample space is the 20 numbers: {1, 2, 3, ..., 20}.

So total possible outcomes = 20.

Now let’s go question by question:

1. Probability of hitting an even number?
Even numbers from 1 to 20: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 → that’s 10 numbers.
Probability = 10 / 20 = 1/2

2. Probability of hitting an odd number?
Odd numbers: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19 → also 10 numbers.
Probability = 10 / 20 = 1/2

3. Probability of hitting a multiple of 4?
Multiples of 4 between 1 and 20: 4, 8, 12, 16, 20 → 5 numbers.
Probability = 5 / 20 = 1/4

4. Probability of hitting a factor of 12?
First, list positive factors of 12: 1, 2, 3, 4, 6, 12.
All of these are ≤ 20 and on the board. So 6 numbers.
Probability = 6 / 20 = 3/10

5. Probability of hitting the number 15?
Only one outcome: 15.
Probability = 1 / 20

6. Probability of hitting the number 20 or the number 1?
Two favorable outcomes: 20 and 1.
Probability = 2 / 20 = 1/10

7. Probability of hitting a multiple of 5?
Multiples of 5 from 1 to 20: 5, 10, 15, 20 → 4 numbers.
Probability = 4 / 20 = 1/5

8. Probability of hitting a number more than 10 but less than 18?
Numbers >10 and <18: 11, 12, 13, 14, 15, 16, 17 → that’s 7 numbers.
(Check: 11 to 17 inclusive = 17 − 11 + 1 = 7)
Probability = 7 / 20

Let me double-check each:
1. Even: 10 ✔
2. Odd: 10 ✔
3. Multiples of 4: 4,8,12,16,20 → 5 ✔
4. Factors of 12: 1,2,3,4,6,12 → 6 ✔
5. Just 15 → 1 ✔
6. 20 or 1 → 2 ✔
7. Multiples of 5: 5,10,15,20 → 4 ✔
8. 11–17: 11,12,13,14,15,16,17 → 7 ✔

All correct.

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