Geometry

Question Analysis
This question involves calculating the probability of non - mutually exclusive events in a marble - picking scenario with additional characteristics (letters).
The main focus is on identifying the individual probabilities of each event, their intersection, and applying the appropriate formula.

Key Concept Explanation
For non - mutually exclusive events A and B (where A is picking a red marble and B is picking a marble with a vowel), P(A ∪ B) = P(A) + P(B) - P(A ∩ B).
This formula helps in correctly determining the probability of either event occurring while accounting for the overlapping marbles.

Step-by-Step Solution
P(Red) = 3/8, P(Vowel) = 4/8. The number of red marbles with vowels needs to be determined.