n electron is trapped using lasers $($you don't need to know details about this!$).$ All you need to know is that the electron has $3$ states, with energies as follows:

State $1$: $3\mathrm{.}1$ eV

State $2$: $3\mathrm{.}2$ eV

State $3$: $3\mathrm{.}5$ eV

It is in equilibrium with a reservoir at temperature $826$ K$.$

What is the probability that the electron is in state $3?$

$($a$)$

$4\mathrm{.}48$e$-22$

$($b$)$

$3\mathrm{.}33$e$-01$

$($c$)$

$2\mathrm{.}03$e$-02$

$($d$)$

$1\mathrm{.}54$e$-19$

$($e$)$

$2\mathrm{.}91$e$-03$

$100\%$

What is the entropy of the electron as the temperature T$$ $?$