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 60 rolls. The table shows the frequency of each number rolled.

Outcome 1 2 3 4 5 6
Frequency 8 11 6 14 9 12

Based on the table, what is the experimental probability that the number rolled was odd?
1 over 2
5 over 12
23 over 60
37 over 60

1 answer

To find the experimental probability that the number rolled was odd, we first need to identify the odd numbers on a six-sided die, which are 1, 3, and 5.

From the frequency table provided, the frequencies for these odd outcomes are:

  • For 1: 8
  • For 3: 6
  • For 5: 9

Now, we calculate the total frequency for odd numbers:

\[ \text{Total frequency for odd numbers} = 8 + 6 + 9 = 23 \]

Next, we know that the total number of rolls is 60. The experimental probability \( P \) that the number rolled was odd is given by the ratio of the frequency of odd rolls to the total number of rolls:

\[ P(\text{odd}) = \frac{\text{Total frequency for odd numbers}}{\text{Total rolls}} = \frac{23}{60} \]

Thus, the experimental probability that the number rolled was odd is \(\frac{23}{60}\).

The answer is \( \frac{23}{60} \).