SOLUTION: OK here's the question: Two dice are rolled, and their difference is recorded. Find the probability of rolling a difference of less than 2. I'm so confused! I understand that I n

Algebra ->  Real-numbers -> SOLUTION: OK here's the question: Two dice are rolled, and their difference is recorded. Find the probability of rolling a difference of less than 2. I'm so confused! I understand that I n      Log On


   

Question 14008: OK here's the question: Two dice are rolled, and their difference is recorded. Find the probability of rolling a difference of less than 2.
I'm so confused! I understand that I need to find the difference and I understand how to do the problem but I keep getting the wrong answer! Help! Thanks!
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
First, what constitutes a difference of less-than-two from a pair of dice?
Well...0 < 2 and 1 < 2
How many ways can you get a difference of zero?
6-6 = 0
5-5 = 0
4-4 = 0
3-3 = 0
2-2 = 0
1-1 = 0
Six ways.
Now, how many ways can you get a differenc of one?
6-5 = 1
5-4 = 1
4-3 = 1
3-2 = 1
2-1 = 1
Five ways.
So you can get a difference of less than two in eleven ways.
What are total possible number of different outcomes from rolling a pair of dice?
Thirtysix.
So, the probability of rolling a difference of less than two (0 or 1) is just:
p(<2) = 11%2F36