. Three components are connected to form a system as shown in the accompanying diagram.
Because the components in the 2–3 subsystem are connected in parallel, that subsystem will
function if at least one of the two individual components functions. For the entire system to
function, component 1 must function and so must the 2–3 subsystem.
The experiment consists of determining the condition of each component: S (success) for a
functioning component and F (failure) for a nonfunctioning component.
(a) What outcomes are contained in the event A that exactly two out of the three components
function?
(b) What outcomes are contained in the event B that at least two of the components function?
(c) What outcomes are contained in the event C that the system functions?
(d) List outcomes in C0, A [ C, A \ C, B [ C, and B \ C.