Question

Ben rolls a number cube 50 times. He records the result of each roll in the table below.

RESULTS OF ROLLING NUMBER CUBE
Outcome 1 2 3 4 5 6
Frequency 7
6
5
11
10
11
Based on the data, which statement is true?
Ben will roll an even number about 250 times if the number cube is rolled 500 times.
Ben will roll an even number about 220 times if the number cube is rolled 500 times.
Ben will roll an even number about 700 times if the number cube is rolled 1,000 times.
Ben will roll an even number about 560 times if the number cube is rolled 1,000 times.

Answer 1

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Explanation:

Answer 2

We can see here that: Ben will roll an even number about 560 times if the number cube is rolled 1,000 times.

The frequency for outcome 2 is 6, the frequency for outcome 4 is 11, and the frequency for outcome 6 is 11 as well.

Adding these frequencies together, we get:

6 + 11 + 11 = 28

So, Ben rolled an even number 28 times out of the 50 rolls recorded in the table.

To estimate the number of times Ben will roll an even number if the number cube is rolled more times, we can set up a proportion:

28 / 50 = x / n

where x is the estimated number of times Ben will roll an even number and n is the total number of rolls.

We can solve this proportion for x:

x = (28 / 50) × n

To find the estimated number of times Ben will roll an even number if the number cube is rolled 1,000 times:

x = (28 / 50) × 1,000 = 560

Therefore, based on the data, Ben will roll an even number about 560 times if the number cube is rolled 1,000 times.