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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