Решение задачи N4827 теория вероятностей

4827. There are 29 parts in a box, 22 of which are painted. Two parts are taken out at random. Find the probability that: 1) both extracted parts will be painted; 2) one part is painted and the other is unpainted (the order of appearance of parts is not taken into account); 3) at least one of the two parts will be painted.

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