Example 4-19. There are (N + 1) identical urns marked 0, 1, 2,., N each of which contains N white and red balls. The kth urn contains k red and N – k white balls, (k = 0, 1, 2, N). An urn is chosen at...

Extracted text: Example 4-19. There are (N + 1) identical urns marked 0, 1, 2,., N each of which contains N white and red balls. The kth urn contains k red and N – k white balls, (k = 0, 1, 2, N). An urn is chosen at random and n random drawings of a ball are made from it, the ball drawn being replaced after each draw. If the balls drawn are all red, show that the probability that the next drawing will also yield a red ball is approximately (n + 1) /(n + 2) when N is large. %3D