Answer :
Let's determine the experimental probability of rolling a 5 based on the data provided.
1. Identify the total number of trials:
The die is rolled 200 times. Therefore, the total number of trials is 200.
2. Identify the frequency for the outcome 5:
From the table, the frequency for the outcome 5 is 30.
3. Calculate the experimental probability:
The experimental probability of an event is calculated as the ratio of the number of times the event occurs to the total number of trials.
[tex]\[ \text{Probability of rolling a 5} = \frac{\text{Frequency of rolling a 5}}{\text{Total number of trials}} \][/tex]
4. Substitute the values:
[tex]\[ \text{Probability of rolling a 5} = \frac{30}{200} \][/tex]
5. Simplify the fraction:
[tex]\[ \frac{30}{200} = 0.15 \][/tex]
Therefore, the experimental probability of rolling a 5 is [tex]\(0.15\)[/tex].
Based on this calculation, the correct answer is:
b. 0.15
1. Identify the total number of trials:
The die is rolled 200 times. Therefore, the total number of trials is 200.
2. Identify the frequency for the outcome 5:
From the table, the frequency for the outcome 5 is 30.
3. Calculate the experimental probability:
The experimental probability of an event is calculated as the ratio of the number of times the event occurs to the total number of trials.
[tex]\[ \text{Probability of rolling a 5} = \frac{\text{Frequency of rolling a 5}}{\text{Total number of trials}} \][/tex]
4. Substitute the values:
[tex]\[ \text{Probability of rolling a 5} = \frac{30}{200} \][/tex]
5. Simplify the fraction:
[tex]\[ \frac{30}{200} = 0.15 \][/tex]
Therefore, the experimental probability of rolling a 5 is [tex]\(0.15\)[/tex].
Based on this calculation, the correct answer is:
b. 0.15
