Geometry

Question Analysis
This question involves conditional probability in the context of a sequential selection process (lucky draw) without replacement.
The main focus is on adjusting the sample space and the number of favorable outcomes after the first two events (selecting two marketing department employees) to calculate the probability of the third event (selecting a sales department employee).

Key Concept Explanation
Conditional probability for non - replacement events means that each prior event changes the situation for the subsequent events.
After the first two selections, the total number of employees left and the number of employees from each department are modified, which affects the probability of the next selection.

Step-by-Step Solution
When the first two winners are from the marketing department, the number of marketing department employees left is , and the number of sales department employees remains 12.
The total number of employees left for the third draw is

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