To determine the experimental probability that the number rolled was odd, we need to follow these steps:
1. Identify the outcomes that correspond to rolling an odd number on a six-sided die. The odd numbers on a die are 1, 3, and 5.
2. Determine the frequencies of these outcomes. According to the table, the frequencies are as follows:
- The frequency for rolling a 1 is 15.
- The frequency for rolling a 3 is 14.
- The frequency for rolling a 5 is 10.
3. Calculate the total frequency of odd numbers. This can be accomplished by summing the frequencies of the odd outcomes:
[tex]\[
\text{Total frequency of odd numbers} = 15 + 14 + 10 = 39
\][/tex]
4. Determine the total number of rolls. According to the table, adding the frequencies of all outcomes gives:
[tex]\[
\text{Total number of rolls} = 15 + 11 + 14 + 15 + 10 + 15 = 80
\][/tex]
5. Calculate the experimental probability of rolling an odd number. This is done by dividing the total frequency of odd numbers by the total number of rolls:
[tex]\[
\text{Probability of rolling an odd number} = \frac{\text{Total frequency of odd numbers}}{\text{Total number of rolls}} = \frac{39}{80}
\][/tex]
This fraction cannot be simplified further. Thus, the experimental probability that the number rolled was odd is:
[tex]\[
\frac{39}{80}
\][/tex]
Hence, the correct answer is [tex]\(\frac{39}{80}\)[/tex].
