4706. Each lottery ticket with probability p1=0.15 may get a big win, with probability p2=0.2 a small win, and with probability p3=0.65 the ticket may end up without a win. Bought n=14 tickets. Determine the probability of getting n1=3 big wins and n2=3 small ones.

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