# Thread: Two Dice, Probability 1st greater than 2nd

1. ## Two Dice, Probability 1st greater than 2nd

Two dice are rolled. The event is considered a success if the 1st die is strictly greater than the 2nd die.

The rest of this question is a simple binomial problem involving the number of successes over several rolls, but my problem is figuring the probability that the 1st die is greater than the second, or the probability the above event is a success. Help?

2. Originally Posted by Dfowj
Two dice are rolled. The event is considered a success if the 1st die is strictly greater than the 2nd die.

The rest of this question is a simple binomial problem involving the number of successes over several rolls, but my problem is figuring the probability that the 1st die is greater than the second, or the probability the above event is a success. Help?
$\displaystyle \begin{array}{*{20}c} {( {2,1} )} & {} & & & & \\ {( {3,1} )} & {( {3,2} )} & & & & \\ {( {4,1} )} & {( {4,2} )} & {( {4,3} )} & & & \\ {( {5,1} )} & {( {5,2} )} & {( {5,3} )} & {( {5,4} )} & & \\ {( {6,1} )} & {( {6,2} )} & {( {6,3} )} & {( {6,4} )} & {( {6,5} )} & {} \\ \end{array}$