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

Question

Outcome 1 2 3 4 5 6
Frequency 17 20 14 18 16 15

Based on the table, what is the experimental probability that the number rolled was even?
53 over 100
47 over 100
5 over 12
1 over 2

Answer 1

To find the experimental probability that the number rolled was even, we first need to determine how many of the rolled numbers are even.

From the table, the even outcomes and their frequencies are:

• Outcome 2: 20
• Outcome 4: 18
• Outcome 6: 15

Now, we will add up the frequencies of these even outcomes:

\[ 20 + 18 + 15 = 53 \]

Next, we need to calculate the total number of rolls, which is given as 100.

The experimental probability of rolling an even number is then calculated by dividing the number of even outcomes by the total number of rolls:

\[ \text{Probability} = \frac{\text{Number of even outcomes}}{\text{Total number of rolls}} = \frac{53}{100} \]

Thus, the experimental probability that the number rolled was even is:

\[ \frac{53}{100} \]

The correct answer is 53 over 100.