Solution of problem N2413 probability theory

Solution of problem N2413 probability theory

2413. Three arrows shoot at once one target independently of each other. The probability of hitting the target by the first shooter is 0.7, the second is 0.8, and the third is 0.85.
Find the probabilities that:
a) all three arrows hit the target;
b) only two arrows will hit the target;
c) at least one shooter hits the target.

Additional information:

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