Last week’s dogs were rather incompetent. This week, the focus will be on Bowser, Spot, and Fifi who are three dogs very skilled at Dog Fu. There are certain Dog Fu maneuvers that involve teamwork, a pack if you will. This pack respects Fluffy highly, but there are other cats that need a whacking.

The Dog Fu maneuver of Cat Smearing requires three Dog Fu practitioners. As it is a very advanced technique, even Bowser, Spot, and Fifi have difficulty pulling it off. Bowser has a 70% chance of pulling off his part, Spot 85%, and Fifi 45%. All must succeed for the maneuver to succeed.

Two successful applications of Cat Smearing will thoroughly whack any cat. If the pack tries Cat Smearing three times against a cat, what is the probability that they will successfully whack their target? Answer to the nearest 0.1%.

Submit your answer to Gene Wirchenko <genew@telus.net>. Your answer should be in the form of a proof. That means to show how your answer must be correct. **The deadline is Wednesday, February 22, 2017 at noon Pacific Time.** I will post the answer shortly after.