An urn contains 6 white and 4 black balls. A fair die is rolled and that number of balls we chosen from the urn. Find the probability that the balls selected are white.

Explanation

To solve the problem step by step, we will calculate the probability of drawing only white balls from the urn after rolling a fair die.

### Step 1: Understand the scenario
We have an urn containing 6 white balls and 4 black balls, making a total of 10 balls. A fair die is rolled, and the number that appears on the die (denote it as \( i \)) indicates how many balls will be drawn from the urn.

### Step 2: Define events
Let:
- \( X_i \): The event that the die shows the number \( i \) (where \( i \) can be 1, 2, 3, 4, 5, or 6).
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