# Question

An electronic game contains three components arranged in the series– parallel circuit shown in Figure 2.12. At Any given time, each component may or may not be operative, And the game will operate only if there is a continuous circuit from P to Q. Let A be the event that the game will operate; let B be the event that

the game will operate though component x is not operative; And let C be the event that the game will operate though component y is not operative. Using the notation in which (0, 0, 1) , for example, denotes that component ≠ is operative but components x And y are not,

(a) List the elements of the sample space S And also the elements of S corresponding to events A, B, And C;

(b) Determine which pairs of events, A And B, A And C, or B And C, are mutually exclusive.

the game will operate though component x is not operative; And let C be the event that the game will operate though component y is not operative. Using the notation in which (0, 0, 1) , for example, denotes that component ≠ is operative but components x And y are not,

(a) List the elements of the sample space S And also the elements of S corresponding to events A, B, And C;

(b) Determine which pairs of events, A And B, A And C, or B And C, are mutually exclusive.

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