Geometry

Question Analysis
This question involves calculating the probability of two successive dependent events of picking green apples from a basket without replacement.
The main focus is on determining how the removal of the first apple modifies the probabilities for the second pick.

Key Concept Explanation
Dependent events imply that the result of the first event impacts the second event.
Here, once an apple is picked, the total number of apples and the number of green apples available for the next pick change, affecting the probability calculations.

Step-by-Step Solution
Calculate the probability of picking a green apple on the first draw: There are 10 apples in total, and 4 are green.
So, .
Calculate the probability of picking a green apple on the second draw given that a green apple was picked on the first draw: After removing one green apple, there are 9 apples left, and 3 of them are green.
So, .
Use the multiplication rule for dependent events:

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