Makoto and his friends rolled two fair number cubes 500 times and recorded the sum of the numbers shown on the cubes each time. On 42 of the trials the sum was 10. What will be the probability that the sum of the numbers shown on the cubes is 10 when two fair number cubes are rolled.

To find the probability, we need to determine the number of successful outcomes (the sum of the numbers shown on the cubes is 10) and divide it by the total number of possible outcomes.

In this case, it is given that Makoto and his friends rolled two fair number cubes 500 times. Out of these 500 trials, the sum was 10 on 42 trials. Therefore, we have 42 successful outcomes.

The total number of possible outcomes when two fair number cubes are rolled can be calculated by considering the number of possible outcomes for each dice roll. Since each fair number cube has 6 faces with numbers 1 to 6, the total number of outcomes for rolling two cubes is 6 x 6 = 36.

Therefore, the probability that the sum of the numbers shown on the cubes is 10 when two fair number cubes are rolled is given by:

Probability = (Number of successful outcomes) / (Total number of possible outcomes)
= 42 / 36
= 7 / 6

So, the probability is 7/6.

What is the definition of probability?

So in your experiment in how many of the 500 cases did you get the required event ?

I meant to just list it as math