Geometry

Question Analysis
This question involves calculating the probability of two different dependent events in a sequential marble - drawing scenario.
The main focus is on determining how the removal of the first marble impacts the probability of drawing the second marble of a different color.

Key Concept Explanation
Dependent events imply that the outcome of the first event changes the conditions for the second event.
In this case, when the first marble is drawn, the total number of marbles and the number of marbles of each color available for the second draw are modified, affecting the probability calculations.

Step-by-Step Solution
Calculate the probability of drawing a yellow marble on the first draw: There are 8 marbles in total, and 4 are yellow. So, .
Calculate the probability of drawing a red marble on the second draw given that a yellow marble was drawn on the first draw: After removing one yellow marble, there are 7 marbles left, and 4 are red. So,

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