Solution of problem N2416 probability theory

Solution of problem N2416 probability theory

2416. Three arrows shoot at the target. The probability of hitting the target for the first arrow is 0.75, and for the second - 0.8, and for the third - 0.9. Find the probability that:
a) All three arrows will hit the target;
b) Only one shooter hits the target;
c) All three will miss;
d) At least one shooter hits the target.

Additional information:

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