Question

What is the probability of rolling 2 dice with sides 2,4,6, and 8? Then, what is the probability of getting a sum of 4,6,8,10,12,14,16?

Answer 1

4: 1/16; 6: 1/8; 8: 3/16; 10: 1/4; 12: 3/16; 14: 1/8; 16: 1/16

Explanation:

The table attached shows the sum resulting from the roll of two 4-sided dice marked as you say. There are 16 possible outcomes, assumed to be equally likely.

There is 1 way to roll a sum of 4, so its probability is 1/16.

There are 2 ways to roll a sum of 6, so its probability is 2/16 = 1/8.

There are 3 ways to roll a sum of 8, so its probability is 3/16.

There are 4 ways to roll a sum of 10, so its probability is 4/16 = 1/4.

There are 3 ways to roll a sum of 12, so its probability is 3/16.

There are 2 ways to roll a sum of 14, so its probability is 2/16 = 1/8.

There is 1 way to roll a sum of 16, so its probability is 1/16.