Question

This table shows the results of rolling a number

cube with sides labeled 1 through 6 several
times.
What is the experimental probability of rolling a 2
or a 4?
Enter your answer as a fraction in simplest form
in the box.
Basic
7
8
9
H
y
x²
П n
O
Outcome occurred
1
2
3
5
Number of times outcome
6
10
6
4
8
6
6

Answer 1

To calculate the experimental probability of rolling a 2 or a 4, we need to determine the total number of times the desired outcomes occurred and divide it by the total number of outcomes.

From the table, we can see that the number 2 occurred 6 times and the number 4 occurred 8 times. Therefore, the total number of times rolling a 2 or a 4 occurred is 6 + 8 = 14.

The total number of outcomes is the sum of all the occurrences in the table, which is 7 + 8 + 9 + 6 + 10 + 6 + 6 = 52.

Now we can calculate the experimental probability:

Experimental probability = Number of times desired outcomes occurred / Total number of outcomes

Experimental probability = 14 / 52

To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor, which is 2:

Experimental probability = (14 / 2) / (52 / 2)

Experimental probability = 7 / 26

Therefore, the experimental probability of rolling a 2 or a 4 is 7/26.