A die is loaded in such a way that an even number is twice likely to occur as an odd number. If the die is tossed twice, find the probability distribution of the random variable X representing the perfect squares in the two tosses.

Explanation

To solve the problem, we need to find the probability distribution of the random variable \(X\) representing the number of perfect squares obtained when a loaded die is tossed twice.

### Step 1: Understand the Loaded Die
The die is loaded such that an even number is twice as likely to occur as an odd number. The possible outcomes on a die are 1, 2, 3, 4, 5, and 6.

Let:
- The probability of rolling an odd number (1, 3, 5) be \(p\).
- The probability of rolling an even number (2, 4, 6) be \(2p\).
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