An alternative equivalent circuit for the circuit is

Two dice are thrown. The events $A$,$B$,and $C$ are as follows:
$A$: getting an even number on the first die.
$B$: getting an odd number on the first die.
$C$: getting the sum of the numbers on the dice $\leq 5$.
State true or false: (give reason for your answer)
Statement: $A$ and $B^{\prime}$ are mutually exclusive.

Write the following set in the set-builder form: $\{ 1, 4, 9, \ldots, 100 \}$

Determine the subset for the set $\{n(n+1)(2n+1) : n \in \mathbb{Z}\}$.

List all the subsets of the set $\{-1, 0, 1\}$.

Write the following set in roster form:
$A = \{ x : x \text{ is an integer and } -3 < x < 7 \}$