The discussion centers on solving a problem involving conditional probability with two boxes, X and Y, containing white and black balls. The probabilities derived include \( P_r(w) = \frac{n-3}{n} \) for box X and \( P_r(w) = \frac{4}{n+1} \) for box Y, leading to the combined probability \( P_r(w) = \frac{4(n-3)}{n(n+1)} \). Participants emphasize the importance of considering both conditions where the ball taken from box X is either black or white, ultimately leading to the final probability expression \( P_{Required} = \frac{4n-3}{n(n+1)} \) for various values of n.
PREREQUISITESStudents and professionals in mathematics, statistics, or data science who are looking to enhance their understanding of conditional probability and its applications in problem-solving scenarios.
Yes, i am aware that ##P(W)= \dfrac{4n-3}{n(n+1)}## is the addition given byDelta2 said:Ehm, not so cheerful here, check your post #18 again, P(W) is the addition of those two.