SOLUTION: The probability of getting the product a perfect square (square of a natural number), when two dice are thrown together, is:

Question 887049: The probability of getting the product a perfect square (square of a
natural number), when two dice are thrown together, is:

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The perfect squares are: 1, 4, 9, 16, ...

We can't get 1 since 2 is the smallest sum.

We can't get 16 since 12 is the largest sum.

There are two perfect squares we could get: 4, 9

There are really 3 ways to roll a 4 and they are

4 = 1+3
4 = 2+2
4 = 3+1

There are 4 ways to roll a 9

9 = 3+6
9 = 4+5
9 = 5+4
9 = 6+3

So there are 3+4 = 7 ways to roll either a 4 or a 9.

This is out of 6*6 = 36 ways possible.

Final Answer: 7/36

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