Solution of problem N4136 Laplace probability theory

Solution of problem N4136 Laplace probability theory

4136. In the urn there are 8 balls: 2 white and 6 black. One ball is removed at random and returned. What should be the number of tests, so that with a probability of 0.95 it could be argued that the absolute deviation of the frequency of occurrence of a white ball from the probability of its appearance was less than 0.03?

Additional information:

Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)