a)Three machines A, B and C operate independently in a factory. Machine A is out of action for 10% of the time, while B is out of action 5% of the time and C is out of action for 20% of the time. A rush order has to be commenced at midday tomorrow. What is the probability that at this time:

(i)All three of the machine will be out of action?

(ii)None of the machines will be out of action?

a)A company is engaged in a civil engineering project. The probability that the project will be delayed by bad weather is 0.3, while the probability that it will be delayed by geological problems is 0.2. What is the probability that the project will be delayed by both bad weather and geological weather?