Each week, the three programers sharing office 1X at company StartLink can participate in an online inside competition where participants are sellected at random, but by certain criteria related to their computing expertize. As such, in any given week, each one of the friends in 1X has a 1 to 2 odds of getting chosen; the probability that any two of them are selected is 0.2 and there is only a one in twenty chance that all three get to participate. What is the probability that, on any given week, none of the employees in 1X participates in the "in- house" competition?
