Answer :
To determine the experimental probability of landing on an odd number when a die is rolled, we can use the following steps:
1. Understand what probability represents: Probability is a measure of how likely an event is to occur, and it can be calculated as the ratio of the number of successful outcomes to the total number of trials.
2. Identify the relevant quantities from the problem:
- The total number of times the die was rolled, which is 10.
- The number of times the die landed on an odd number, which is 7.
3. Set up the probability formula:
[tex]\[ \text{Probability of an event} = \frac{\text{Number of successful outcomes}}{\text{Total number of trials}} \][/tex]
4. Substitute the given values into the formula:
- Number of successful outcomes (landing on an odd number) = 7
- Total number of trials (total rolls) = 10
5. Calculate the probability:
[tex]\[ \text{Probability of landing on an odd number} = \frac{7}{10} \][/tex]
So, the experimental probability of landing on an odd number is:
[tex]\[ \frac{7}{10} \][/tex]
Therefore, among the given options, the correct answer is:
[tex]\[ \boxed{\frac{7}{10}} \][/tex]
1. Understand what probability represents: Probability is a measure of how likely an event is to occur, and it can be calculated as the ratio of the number of successful outcomes to the total number of trials.
2. Identify the relevant quantities from the problem:
- The total number of times the die was rolled, which is 10.
- The number of times the die landed on an odd number, which is 7.
3. Set up the probability formula:
[tex]\[ \text{Probability of an event} = \frac{\text{Number of successful outcomes}}{\text{Total number of trials}} \][/tex]
4. Substitute the given values into the formula:
- Number of successful outcomes (landing on an odd number) = 7
- Total number of trials (total rolls) = 10
5. Calculate the probability:
[tex]\[ \text{Probability of landing on an odd number} = \frac{7}{10} \][/tex]
So, the experimental probability of landing on an odd number is:
[tex]\[ \frac{7}{10} \][/tex]
Therefore, among the given options, the correct answer is:
[tex]\[ \boxed{\frac{7}{10}} \][/tex]
