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Louis rolled a fair six-sided die and recorded the number that was facing up on the die. He continued this for a total of 80 rolls. The table shows the frequency of each number rolled.

\begin{tabular}{|c|c|c|c|c|c|c|}
\hline
Outcome & 1 & 2 & 3 & 4 & 5 & 6 \\
\hline
Frequency & 15 & 11 & 14 & 15 & 10 & 15 \\
\hline
\end{tabular}

Based on the table, what is the experimental probability that the number rolled was odd?

A. [tex]$\frac{41}{80}$[/tex]
B. [tex]$\frac{39}{80}$[/tex]
C. [tex]$\frac{5}{12}$[/tex]
D. [tex]$\frac{1}{2}$[/tex]



Answer :

GinnyAnswer
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].

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