Solution of problem N1083 Laplace probability theory

Solution of problem N1083 Laplace probability theory

1083. How many experiments are needed to roll a coin, so that with a probability of 0.92 one could expect a deviation in the frequency of the drop of the "emblem" from the theoretical probability of 0.5 by an absolute value less than 0.01?

Additional information:

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