Question

A die is rolled twice. what is the probability of getting either a multiple of 3 on the first roll or a total of 7 for both rolls?

Answer 1

There would be a 44.4% chance of either of these happening. 

In order to find this we have to find out how many total possibilities there are. Because we have two die each with 6 sides, we have 36 total options. 

Of those options, 12 of them start with either a 3 or 6, which are multiples of 3. So we can add 12 to our lists of successes. 

Of those options, there are 4 more that don't start with those numbers, but do equal 7.  (1 and 6, 2 and 5, 4 and 3, 5 and 2). So we can add 4 to our list of successes. 

Knowing we have 12 and 4 successes, we can add them together to get 16. We can then divide that by the total options (36) to find the percentage above.