Geometry

Question Analysis
This question involves calculating the probability of a specific sequence of three independent events during marble draws with replacement.
The main focus is on calculating the individual probabilities of each draw and using the multiplication rule for independent events to find the combined probability.

Key Concept Explanation
Since the marbles are drawn with replacement, each draw is an independent event.
For multiple independent events , , and , the probability of all of them occurring is given by the formula .
The probability of drawing a particular color marble is determined by the ratio of the number of marbles of that color to the total number of marbles.

Step-by-Step Solution
Calculate the probability of each draw:
The total number of marbles is .
The probability of getting a white marble on the first draw, .
The probability of getting a black marble on the second draw,

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