Question

Marcus rolled a number cube and recorded his results in the table. What is the experimental probability that the next roll is a five? Round your answer to the nearest whole percent.

Answer 1

The probability is 13.33%

Explanation:

Probability

The probability of an outcome is defined as the frequency of the number of times the outcome occurs (f) relative to the number of times that it could have occurred (n).

The formula to calculate the probability is:

`\displaystyle P=(f)/(n)`

Marcus rolled a number cube and the results are recorded in a table where it can be noted that the number five rolled f=24 times. The total number of trials is n=30+45+30+28+24+23=180.

The probability that the next roll is a five is:

`\displaystyle P=(24)/(180)`

Simplifying:

`\displaystyle P=(24)/(180)`

`\displaystyle P=(2)/(15)`

Dividing:

`\displaystyle P=0.1333 = 13.33\%`

The probability is 13.33%