For a class activity, each student randomly chooses a number from 1 to 10. Which model shows the probability of choosing an odd number?
2/8
5/10
8/2
10/2
The correct model that shows the probability of choosing an odd number is 5/10.
This is because there are 5 odd numbers (1, 3, 5, 7, and 9) out of a total of 10 numbers (1, 2, 3, 4, 5, 6, 7, 8, 9, and 10).
So, the probability of choosing an odd number is the number of odd numbers divided by the total number of possible choices which is 5/10 or simplified as 1/2.
To determine which model shows the probability of choosing an odd number, let's first establish the total number of options or outcomes. In this case, each student randomly chooses a number from 1 to 10, so there are 10 possible numbers they can choose from.
Now, let's identify the number of favorable outcomes, which are the odd numbers from 1 to 10. These are numbers 1, 3, 5, 7, and 9. There are five odd numbers in total.
The probability of choosing an odd number is calculated by dividing the number of favorable outcomes by the total number of outcomes.
Let's go through each model from the given options:
1. 2/8: This model implies that there are only 8 possible outcomes, which contradicts the fact that there are 10 numbers to choose from. This is not the correct model.
2. 5/10: This model suggests that there are 5 favorable outcomes (odd numbers) out of the 10 total outcomes (numbers 1 to 10). Since this correctly represents the scenario, this is the correct model for the probability of choosing an odd number.
3. 8/2: This model implies that there are only 2 possible outcomes, which again contradicts the fact that there are 10 numbers to choose from. This is not the correct model.
4. 10/2: This model suggests that there are 10 favorable outcomes (odd numbers) out of only 2 total outcomes. This contradicts the fact that there are 10 numbers to choose from. This is not the correct model.
Therefore, the correct model showing the probability of choosing an odd number is 5/10.
To find the probability of choosing an odd number, we need to know the total possible outcomes and the total favorable outcomes.
There are 10 total possible numbers to choose from (1 to 10).
Out of those, there are 5 odd numbers (1, 3, 5, 7, and 9) that we consider as favorable outcomes.
So, the probability of choosing an odd number is calculated as:
Total favorable outcomes / Total possible outcomes = 5/10.
Hence, the model that shows the probability of choosing an odd number is 5/10.