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]. (Enter your answers as a comma-separated list. Enter ? for the empty set.)

(a) Which outcomes are contained in the event A that exactly two of the three components function?
A =

(b) Which outcomes are contained in the event B that at least two of the components function?
B =

(c) Which outcomes are contained in the event C that the system functions?
C =

(d) List outcomes in C'.
C' =

List outcomes in A ? C.
A ? C =

List outcomes in A ? C.
A ? C =

List outcomes in B ? C.
B ? C =

List outcomes in B ? C.
B ? C =