A Game of Thrones fan predicts there is a $30\%$ chance that her favorite character will survive the next season and a $75\%$ chance that her second favorite character will die. There is also a $22\%$ chance that both characters will die.

What's the probability that the second character will die given that the first character dies?

$\mathrm{.}73$

$\mathrm{.}31$

$\mathrm{.}11$

$\mathrm{.}37$