There are 10 urns, each containing 3 white and 7 black balls. A ball is accidentally pulled out of the first urn and transferred to the second, then a random ball is transferred from the second urn to the third, etc. At the end, a random ball is drawn from the tenth urn. Find the probability P of being white. Enter a number as a decimal fraction with a dot separator to one decimal place, for example 0.3.

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 10 urns, each containing 3 white and 7 black balls. A ball is accidentally pulled out of the first urn and transferred to the second, then a random ball is transferred from the second urn to the third, etc. At the end, a random ball is drawn from the tenth urn. Find the probability P of being white.

Enter a number as a decimal fraction with a dot separator to one decimal place, for example 0.3.

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