Question

A number cube with sides numbered 1 through 6 is rolled 12 times. The results are shown in the list.



1, 6, 4, 1, 1, 1, 5, 2, 4, 4, 3, 3

Question 1
,begin emphasis,Part A,end emphasis,

Compare the expected results to the actual number of times the number cube landed on 4. Choose "fewer" or "more" to complete the sentence.

Question 1 Response area with 2 radio buttons within 1 groups.
The number cube landed on 4 ,begin bold,[fewer / more],end bold, times than expected.

Answer 1

To determine whether the number cube landed on 4 "fewer" or "more" times than expected, we first need to calculate the expected number of times a 4 would appear if the number cube were rolled 12 times.

Since the number cube has 6 sides and is fair, we can calculate the expected frequency for rolling a 4 as follows:

\[
\text{Expected times} = \frac{1}{6} \times 12 = 2
\]

Now, we look at the actual results. From the results provided:

1, 6, 4, 1, 1, 1, 5, 2, 4, 4, 3, 3

The number 4 appears **3 times.**

Now we compare the actual number of times (3) to the expected number of times (2):

- Actual: 3
- Expected: 2

Since 3 is more than 2, we complete the sentence:

The number cube landed on 4 **more** times than expected.