Answer :
To find the experimental probability of spinning a "[tex]$C$[/tex]," follow these steps:
1. Identify the total number of spins:
- The problem states that the spinner is spun 75 times. This is our total number of spins.
2. Identify the frequency of spinning a "[tex]$C$[/tex]":
- According to the table, the frequency for "[tex]$C$[/tex]" is 14.
3. Calculate the experimental probability:
- The experimental probability of an event is calculated as the number of times the event occurs divided by the total number of trials.
- So, the experimental probability of spinning a "[tex]$C$[/tex]" is:
[tex]\[ \text{Experimental Probability of } C = \frac{\text{Frequency of } C}{\text{Total Number of Spins}} = \frac{14}{75} \][/tex]
4. Calculate the fraction:
- [tex]\[ \frac{14}{75} \approx 0.18666666666666668 \][/tex]
5. Round the result to the nearest hundredth:
- To round 0.18666666666666668 to the nearest hundredth, we look at the digit in the thousandths place, which is 6. Since it is 5 or greater, we round up the hundredths place from 8 to 9.
- Therefore, 0.18666666666666668 rounds to 0.19.
So, the experimental probability of spinning a "[tex]$C$[/tex]" rounded to the nearest hundredth is [tex]\(\boxed{0.19}\)[/tex]. The correct answer is [tex]\(d. 0.19\)[/tex].
1. Identify the total number of spins:
- The problem states that the spinner is spun 75 times. This is our total number of spins.
2. Identify the frequency of spinning a "[tex]$C$[/tex]":
- According to the table, the frequency for "[tex]$C$[/tex]" is 14.
3. Calculate the experimental probability:
- The experimental probability of an event is calculated as the number of times the event occurs divided by the total number of trials.
- So, the experimental probability of spinning a "[tex]$C$[/tex]" is:
[tex]\[ \text{Experimental Probability of } C = \frac{\text{Frequency of } C}{\text{Total Number of Spins}} = \frac{14}{75} \][/tex]
4. Calculate the fraction:
- [tex]\[ \frac{14}{75} \approx 0.18666666666666668 \][/tex]
5. Round the result to the nearest hundredth:
- To round 0.18666666666666668 to the nearest hundredth, we look at the digit in the thousandths place, which is 6. Since it is 5 or greater, we round up the hundredths place from 8 to 9.
- Therefore, 0.18666666666666668 rounds to 0.19.
So, the experimental probability of spinning a "[tex]$C$[/tex]" rounded to the nearest hundredth is [tex]\(\boxed{0.19}\)[/tex]. The correct answer is [tex]\(d. 0.19\)[/tex].
