Question
Corrine needs to make a 2 character alphanumeric code starting with the numbers 0–9, followed by the letters A–D. What is the complete sample space for this compound event? Show your work with a list, table, or tree diagram..in two to three sentences in 8th grader words
Answers
GPT-4o mini
To create a 2-character alphanumeric code where the first character is a number (0-9) and the second character is a letter (A-D), we can list all the possible combinations.
1. **Numbers**: There are 10 options for the first character (0, 1, 2, 3, 4, 5, 6, 7, 8, 9).
2. **Letters**: There are 4 options for the second character (A, B, C, D).
To find the total number of combinations, we multiply the number of options for each character:
10 (numbers) × 4 (letters) = 40 possible codes.
Here is the complete sample space of the codes:
```
0A, 0B, 0C, 0D
1A, 1B, 1C, 1D
2A, 2B, 2C, 2D
3A, 3B, 3C, 3D
4A, 4B, 4C, 4D
5A, 5B, 5C, 5D
6A, 6B, 6C, 6D
7A, 7B, 7C, 7D
8A, 8B, 8C, 8D
9A, 9B, 9C, 9D
```
So, there are 40 different codes Corrine can create!
1. **Numbers**: There are 10 options for the first character (0, 1, 2, 3, 4, 5, 6, 7, 8, 9).
2. **Letters**: There are 4 options for the second character (A, B, C, D).
To find the total number of combinations, we multiply the number of options for each character:
10 (numbers) × 4 (letters) = 40 possible codes.
Here is the complete sample space of the codes:
```
0A, 0B, 0C, 0D
1A, 1B, 1C, 1D
2A, 2B, 2C, 2D
3A, 3B, 3C, 3D
4A, 4B, 4C, 4D
5A, 5B, 5C, 5D
6A, 6B, 6C, 6D
7A, 7B, 7C, 7D
8A, 8B, 8C, 8D
9A, 9B, 9C, 9D
```
So, there are 40 different codes Corrine can create!
make it look more like a human wrote it