Solution of problem N3710 probability theory total prob

Solution of problem N3710 probability theory total prob

3710. Two typists print the text of 6 pages, moreover, the first 2 pages are typed by the first typist, and the remaining 4 pages are printed by the second. The probability of an error of the first 0.1, and the second - 0.2. Find the probability that the text will be a mistake?

Additional information:

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