Geometry

Question Analysis
This question involves computing the probability of two different dependent events occurring in a specific order when candies are drawn from a bag.
The main focus is on correctly determining the probabilities of each event as the sample space changes after the first draw.

Key Concept Explanation
As with all dependent - event probability problems, the removal of the first candy affects the probabilities for the second draw.
The total number of candies and the number of candies of each flavor decrease, which impacts the likelihood of drawing a particular flavor on the second try.

Step-by-Step Solution
Calculate the probability of taking a strawberry - flavored candy on the first draw: There are 20 candies in total and 12 are strawberry - flavored, so .
Calculate the probability of taking a lemon - flavored candy on the second draw given that a strawberry - flavored candy was taken on the first draw: After removing one strawberry - flavored candy, there are 19 candies left and 8 are lemon - flavored. So .
Use the multiplication rule for dependent events:

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