A study shows that 6% of household appliances fail during any given year. If a person has 6 household appliances, what is the probability that exactly 2 of them will fail next year?

(x) npq =
P(.6+.94)=1 6*2=12

prob(fail) = 6/100 = 3/50

prob(not fail) = 47/50

prob(2 of 6 will fail) = C(6,2) (3/50)^2 (47/50)^4
= appr .042

Since the prob (anything) must be a number from 0 to 1, your answer makes absolutely no sense at all.
I don't even understand your notation.