Event 3B
Given the following event:
Given two urns, one containing 1 yellow, 3 red, and 5 blue balls, and the other containing 4 yellow, 2 red, and 3 blue balls. A single ball is drawn from each.
-Given Event 3B, what is the probability that one is red, the other is blue?
A) 2/3
B) 3/27
C) 77/81
D) 19/81
E) 1/3

Question

Quizplus · Accepted Answer

The probability of drawing one red ball from the first urn and one blue ball from the second urn is (3/9) * (3/9) = 1/9. The probability of drawing one blue ball from the first urn and one red ball from the second urn is (5/9) * (2/9) = 10/81. Therefore, the total probability of drawing one red ball and one blue ball is 1/9 + 10/81 = 19/81, which is choice D.

Event 3B Given the Following Event