Geometry

Question Analysis
This question involves calculating the probability of two consecutive dependent events of drawing blue balls from a box.
The main focus is on understanding how the removal of the first ball changes the probabilities for the second draw.

Key Concept Explanation
Dependent events are those where the outcome of the first event impacts the second event. In probability without replacement, after the first ball is drawn, the total number of balls and the number of balls of a specific color decrease, altering the probabilities for subsequent draws.

Step-by-Step Solution
Calculate the probability of drawing a blue ball on the first draw: There are 6 balls in total and 3 are blue, so .
Calculate the probability of drawing a blue ball on the second draw given that a blue ball was drawn on the first draw: After removing one blue ball, there are 5 balls left and 2 blue balls remaining.
So