Consider the following sequential$-$move game. Suppose Player $1$ moves first. After observing Player $1\text{'}$s strategy, Player $2$ then moves.

$\backslash$table$[[,$Player $2],[$D$,],[$Player $1,$L$,5,9,9,6],[$R$,8,14,3,16]]$

Question $1$

$0\mathrm{.}5$ pts

Which of the following is the optimal strategy of Player $2$ in the above$-$described sequentialmove game.

$$ U

D

If observing Player $1$ plays L$,$ Player $2$ plays U; if observing Player $1$ plays R$,$ Player $2$ plays D$.$

If observing Player $1$ plays L$,$ Player $2$ plays D ; if observing Player $1$ plays R$,$ Player $2$ plays $U.$