Question

Greg tossed a number cube and recorded the results. The table shows the number of times he rolled each number. Based on the table, what is the experimental probability of rolling a 4 on the next toss?

Greg's number cube tosses
1 7
2 5
3 6
4 4
5 8
6 6

a. 2/9
b. 1/6
c. 1/9
d.1/8

Answer 1

To calculate the experimental probability of rolling a 4 on the next toss, we first need to determine the total number of tosses Greg made and the number of times he rolled a 4.

From the table provided:

- Number of times he rolled a 4: 4
- Total number of tosses: \(7 + 5 + 6 + 4 + 8 + 6 = 36\)

The experimental probability \(P\) of rolling a 4 is given by the formula:

\[
P(4) = \frac{\text{Number of times 4 was rolled}}{\text{Total number of tosses}} = \frac{4}{36}
\]

Now, we can simplify \(\frac{4}{36}\):

\[
\frac{4}{36} = \frac{1}{9}
\]

Thus, the experimental probability of rolling a 4 on the next toss is:

\[
\frac{1}{9}
\]

The correct answer is **c. 1/9**.