Question

Instead of using the values {1,2,3,4,5,6} on dice, suppose a pair of dice have the following: {1,2,2,3,3,4} on one die and {1,3,4,5,6,8} on the other. Find the probability of rolling a sum of 6 with

these dice.

Answer 1

5/36

Explanation:

first, find all possible ways to add 1 number from both number lines to get 6:

3+3 2+4 1+5

now, let's see how often we will get these numbers:

3=2/6

3=1/6

2=2/6

4=1/6

1=1/6

5=1/6

now, let's multiply these probabilities, and add the results together:

2/6*1/6 + 2/6*1/6 + 1/6*1/6 = 5/36