Question: Components are made by three machines \(A\), \(B\) and \(C\). Machine A makes \(40 \%\) of the components, Machine B makes \(50 \%\) and Machine \(C\) makes the rest. Of these components made by machine \(A, 95 \%\) are reliable, of those made by Machine \(B\), \(90 \%\) are reliable and those by Machine \(C\), \(96 \%\). A component is picked at random. Calculate the probability that it is:

1. Made by Machine \(C\)
2. Made by Machine \(B\) and is unreliable
3. Made by either Machine \(A\) or Machine \(B\)
4. Reliable.

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