Two dice are rolled. What is the probability that the sum of the numbers is exactly 10? What is the probability that the sum of the numbers is at least 10? What is the probability that the sum of the numbers is exactly 10, given that it is at least 10?

exactly 10: 8.33 %

at least 10: 16.66 %

Step-by-step explanation:

first we have to see the amount of favorable results

4+6 = 10

6+4 = 10

5+5=10

then we have to see the amount of possible results

Each dice has 6 faces and there are 2 dice, so if we make 6 ^ 2 we will get the number of possible combinations

6^2 =

6*6 = 36

Now we only do the number of favorable results on the possible results and multiply it by 100 and obtain the probability

100*3/36 = 8.33 %

we do the same for those greater than or equal to 10

4+6 = 10

6+4 = 10

5+5 = 10

6+5 = 11

5+6 = 11

6+6 = 12

100*6/36 = 16.66 %