Copykwik has four photocopy machines:A,B,C, andD. The probability that a given machine will break down on a particular day is given below.P(A) =

1

55

P(B) =

1

57

P(C) =

1

80

P(D) =

1

36

Assuming independence, what is the probability on a particular day that the following will occur?(a) All four machines will break down (Round your answer to ten decimal places.)

(b) None of the machines will break down (Round your answer to three decimal places.)