SOLUTION: Two 6-sided dice are rolled. What is the probability that the two numbers obtained differ by more than 2?

Question 62764: Two 6-sided dice are rolled. What is the probability that the two numbers obtained differ by more than 2?
Answer by jai_kos(139) (Show Source): You can put this solution on YOUR website!
Rolling of dice would give the probability of (1/36) of the happening.
It is also given that the difference in the outcome is more than 2.
Let us make a list of it.
First dice | second dice
1| 4
1| 5

1| 6
2| 5
2| 6
3| 6
4| 1
5| 1
6| 1
5| 2
6| 2
6| 3

There are 12 possibilities.
Therefore the total probability is given by = possibilities / total ooutcome = 12 / 36 = 1 /3
The probability that the two numbers obtained differ by more than 2 is 1/3
RELATED QUESTIONS
Two fair 6 sided dice are rolled. What is the probability that the sum of the two numbers (answered by solve_for_x)

three 6-sided dice are rolled. What is the probability that two the dice show a... (answered by Fombitz)

Two fair six-sided dice are rolled. What is the probability that the sum of the... (answered by rothauserc)

Two fair 6-sided dice are rolled. What is the probability the sum of the two numbers on... (answered by Edwin McCravy)

Two fair six-sided dice are rolled. What is the probability that the sum of the... (answered by Boreal)

Five standard 6-sided dice are rolled, and the resulting numbers are multiplied together. (answered by CPhill)

Two six-sided dice are rolled. What is the probability that one of the dice shows a 5 or... (answered by greenestamps)

Six 6-sided dice are rolled. What is the probability that three of the dice show prime... (answered by robertb)

Suppose that two 6-sided dice are rolled. What is the probability that at least one face... (answered by stanbon)