Q: What is the probability of rolling a perfect square on either die?

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Assuming that it is a 6-sided die, the answer is 1/3.

depends on the numbers on the spinner. if 1 thru 10, 7/10

It is a square number but not a perfect square. The nearest perfect squares, on either side, are 4^2 = 16 and 5^2 = 25. Since there is no integer between 4 and 5 and the square is a strictly monotonic function, 18 cannot be a perfect square.

One is a perfect square that doesn't fit either of those criteria. Your hypothesis may not be universally true.

Irrational. The square root of a positive integer is either an integer (that is, if the integer is a perfect square), or an irrational number.

Related questions

It is 4/16 = 1/4.

The probability of rolling two prime numbers on a standard pair of dice is 1 in 4, or 0.25. Take the probability of rolling a prime on one die, 3 in 6, or 1 in 2, or 0.5, and square it.

There are 11 numbers from 10 to 20 if we include 10 and 20. Of those, only 16 is a perfect square. So the probability if 1/11 or .09 repeating.

Zero

Assuming that it is a 6-sided die, the answer is 1/3.

There are 90 two-digit numbers from 10 to 99. Of those, 6 are perfect squares (16, 25, 36, 49, 64, and 81) and 2 are perfect cubes (27 and 64). Each perfect square or root has a probability of 1 in 90 in being drawn.

depends on the numbers on the spinner. if 1 thru 10, 7/10

It is a square number but not a perfect square. The nearest perfect squares, on either side, are 4^2 = 16 and 5^2 = 25. Since there is no integer between 4 and 5 and the square is a strictly monotonic function, 18 cannot be a perfect square.

One is a perfect square that doesn't fit either of those criteria. Your hypothesis may not be universally true.

Irrational. The square root of a positive integer is either an integer (that is, if the integer is a perfect square), or an irrational number.

The least error prone way of doing this is to draw a 6x6 square of all the possiblities when rolling a pair of dice, where one is red and one blue, and work out the proportion of the combinations that sum to 7.

200 is not a perfect square. Its square root is a fraction and the square root of a perfect square is always an integer.