if i have 2 dice what is the probability of sum is a square

Question

I have two dice. What is the probability sum is a square?

Answer 1

With the sum of dice rolling, it can be helpful to make the table with columns labeled 1-6 and rows labeled 1-6. The columns represent the possibilities for the first die being rolled, and the rows represent the possibilities for the second die being rolled. Then fill in the corresponding cells with the sum of the row and column. This shows that there are 36 possible outcomes for the sum, and it also makes it simple to count the number of times a particular sum occurs (i.e. the numerator of the probability calculation). David W. has identified the correct cells, thus the probability is 7/36.

Answer 2

Rolling two die, there are 36 possible outcomes.

Three result in the sum being a square: 3, 1; 1, 3; 4, 4.

 

The probability is 3/36 or 1/12.