Geometry

Question Analysis
This question involves calculating the probability of two successive dependent events.
The main focus is on correctly determining the probabilities of each draw as the quantity and types of toys in the bag change after the first draw, and applying the multiplication rule for dependent events to find the combined probability of the two events.

Key Concept Explanation
Dependent events mean that the result of the first toy draw impacts the probability of the second draw.
In a non - replacement situation, when the first toy is taken out, the total number of toys and the number of toys in each category decrease, thereby changing the probabilities for the second draw.

Step-by-Step Solution
Calculate the probability of drawing a doll on the first draw:
There are 4 dolls out of 16 total toys, so .
Calculate the probability of drawing a ball on the second draw given that a doll was drawn on the first draw:
After removing one doll, there are 15 toys left, and 3 of them are balls.
So

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