Find the probability distribution of the number of green balls drawn when 3 balls are drawn , one by one, without replacement from a bag containing 3 green and 5 white balls.

Explanation

To find the probability distribution of the number of green balls drawn when 3 balls are drawn one by one without replacement from a bag containing 3 green and 5 white balls, we can follow these steps:

### Step 1: Define the Random Variable
Let \( X \) be the random variable representing the number of green balls drawn. The possible values of \( X \) are \( 0, 1, 2, \) and \( 3 \).

### Step 2: Calculate \( P(X = 0) \)
To find \( P(X = 0) \), we need to draw 3 white balls. The probability of drawing 3 white balls without replacement is calculated as follows:

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