Occurrence of Event/Examples

Examples of Occurrences of Events

Electric Circuit 1

Consider the electric circuit:

Let event $A$ be that switch $A$ is open.

Let event $B_n$ for $n = 1, 2, 3$ be that switch $B_n$ is open.

Let $C$ be the event that no current flows from $M$ to $N$.

Then:

$C = A \cup \paren {B_1 \cap B_2 \cap B_3}$

$\overline C = \overline A \cap \paren {\overline {B_1} \cup \overline {B_2} \cup \overline {B_3} }$