There are one white and one black ball in the box. She takes out one ball at a time. If the cue ball is drawn, it is returned to the box and 2 more cue balls are added. If the black ball is drawn, the draw is aborted. Determine the probability that in the first 50 draws a black ball is not drawn.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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There are one white and one black ball in the box. She takes out one ball at a time. If the cue ball is drawn, it is returned to the box and 2 more cue balls are added. If the black ball is drawn, the draw is aborted. Determine the probability that in the first 50 draws a black ball is not drawn. The correct solution is (100!)/((2^100)*50!), can you show the procedure.

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