A machine comprises of 3 transformers A, B, C. The machine may operate if at least 2 transformers are working. The probability of each transformer working are given as ; P(A) = 0.6 , P(B) =0.4 , P(C) = 0.8 .Find the probabilities of having the following outcomes.

1. Only one transformer operating

2. Two transformers are operating

3. All three transformers are operating

4. None is operating

5. At least 2 are operating

6. At most two are operating