3.26 From a box containing 4 black balls and 2 green balls, 3 balls are drawn in succession, each ball being replaced in the box before the next draw is made. Find the probability distribution for the number of green balls.

Step-by-step explanation:

Given

--- selected balls (with replacement)

Required

Determine the probability distribution for the green balls.

Let x be a such that:

Because it is a selection with replacement

The probability of a green ball being drawn is always:

The probability of a black ball being drawn is always:

So, the probability distribution of green is:

Apply law of indices

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step-by-step explanation:

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step-by-step explanation:

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