SOLUTION: Two standard dice are rolled. Determine the probability that the difference between the two numbers on the dice is 2?

Question 205372: Two standard dice are rolled. Determine the probability that the difference between the two numbers on the dice is 2?
Answer by alicealc(293) (Show Source): You can put this solution on YOUR website!
the sample space for this problem is:
{(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),
(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),
(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),
(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),
(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),
(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}
each sample represents (the number shown in 1st dice,the number shown in 2nd dice)

from the sample space, the samples which have differences between the two numbers = 2 are:
{(1,3),(2,4),(3,1),(3,5),(4,2),(4,6),(5,3),(6,4)}

so,the probability for this problem is 8/36 = 2/9

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