Question

A dice was rolled 320 times. The number 2 was rolled 54 times. If the number cube was rolled 3,000 times, approximately how many times would the number 2 be rolled?

Answer 1

Approximately 506 times.

Step-by-step explanation:

To find approximately how many times the number 2 would be rolled when a number cube is rolled 3000 times, we can use the concept of proportionality. We know that the number 2 was rolled 54 times when the dice was rolled 320 times. So, the ratio of the number of times the number 2 was rolled to the total number of rolls is 54/320.

We can set up a proportion to find the desired number of rolls: 54/320 = x/3000. Cross-multiplying gives us 320x = 54 * 3000.

Simplifying the equation, we get 320x = 162000. Dividing both sides by 320 gives us x ≈ 506.25.

Therefore, the number 2 would be rolled approximately 506 times when the number cube is rolled 3000 times.