To determine the experimental probability that the number rolled was odd, we can follow these steps:
1. Determine the total number of rolls:
According to the given table, the total number of rolls is the sum of all the frequencies of the outcomes:
[tex]\[
8 + 11 + 6 + 14 + 9 + 12 = 60
\][/tex]
So, the total number of rolls is [tex]\( 60 \)[/tex].
2. Determine the total frequency of rolling an odd number:
The odd numbers on a six-sided die are 1, 3, and 5. From the table, we can see the frequencies for these outcomes:
[tex]\[
\text{Frequency of } 1 = 8
\][/tex]
[tex]\[
\text{Frequency of } 3 = 6
\][/tex]
[tex]\[
\text{Frequency of } 5 = 9
\][/tex]
Thus, the total frequency of rolling an odd number is:
[tex]\[
8 + 6 + 9 = 23
\][/tex]
3. Calculate the experimental probability of rolling an odd number:
Probability is determined as the ratio of the number of successful outcomes to the total number of outcomes. Hence, the experimental probability of rolling an odd number is:
[tex]\[
\frac{\text{Total frequency of rolling an odd number}}{\text{Total number of rolls}} = \frac{23}{60}
\][/tex]
Therefore, based on the table, the experimental probability that the number rolled was odd is [tex]\( \frac{23}{60} \)[/tex].
The correct answer is [tex]\(\frac{23}{60}\)[/tex].
