UpStudy Free Solution:

To find the experimental probability of rolling a 4 on the next toss, we need to use the data from the table.

First, we sum the frequencies of all the rolls to get the total number of rolls:

\[7 + 5 + 6 + 4 + 8 + 6 = 36\]

The frequency of rolling a 4 is 4.

The experimental probability is calculated as the number of times the event occurs divided by the total number of trials:

\[\text { Probability of rolling a 4} = \frac { \text { Frequency of rolling a 4} } { \text { Total number of rolls} } = \frac { 4} { 36} = \frac { 1} { 9} \]

So, the experimental probability of rolling a 4 on the next toss is \(\frac { 1} { 9} \).

Supplemental Knowledge

Experimental probability is determined by conducting an experiment and recording the outcomes. It is calculated by dividing the number of times a specific event occurs by the total number of trials. The formula for experimental probability is:

\[\text { Experimental Probability} = \frac { \text { Number of favorable outcomes} } { \text { Total number of trials} } \]

In this case, Greg recorded the results of tossing a number cube multiple times. To find the experimental probability of rolling a 4, we need to determine how many times a 4 was rolled and divide it by the total number of rolls.

Join millions who have transformed their academic journey with UpStudy; your ultimate partner for academic success!