Question

Role-playing games like dungeons & dragons use many different types of dice. suppose that a eight-sided die has faces marked 1, 2, 3, 4, 5, 6, 7, 8. the intelligence of a character is determined by rolling this die twice and adding 1 to the sum of the spots. the faces are equally likely and the two rolls are independent. what is the average (mean) intelligence for such characters?

Answer 1

In this question, you are given the number of dice faces(8 faces) and the number of the roll( 2 rolls then add 1 value). You are asked the average value.

First, you need to count the average value of the dice probability. Since the lowest possible is 1 and the highest possible is 8, then the dice average value would be: (1+8)/2= 4.5

Then, the average intelligence of the character would be : 2 dice +1 = 2(4.5) +1 = 10 intelligence