A fair dice is thrown three times. If p, q and r are the numbers obtained on the dice, then find the probability that `i^(p) + i^(q) + i^(r) = 1`, where `I = sqrt(-1)`.

Explanation

To solve the problem, we need to find the probability that \( i^p + i^q + i^r = 1 \) when a fair die is thrown three times, yielding the results \( p, q, \) and \( r \).

### Step-by-Step Solution:

1. **Understanding the Powers of \( i \)**:
The imaginary unit \( i \) has the following powers:
- \( i^1 = i \)
- \( i^2 = -1 \)
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