$(10$ points$)$ Consider the following simple Wumpus World configuration:

$($a$)$ What is the probability that the Hybrid$-$Wumpus$-$Agent in Fig. $7\mathrm{.}20$ would sucoessfully

find the gold? Explain your answer. You may assume that the Agent is initially facing

east and that whenever choosing between notunsafe squares, the closest one is always

chosen first. If there is a group of squares tied for closest, then a random one is chosen

from that group.

$($b$)$ Repeat the above analysis if the uppermost pit is removed.