Too random...

Consider two parallel walls $AB$ and $CD,$ which have points $M$ and $N,$ respectively, placed exactly opposite to each other. There are two more randomly selected points $P$ and $Q$ on wall $CD,$ as shown. Now a particle $X,$ initially placed at position $M,$ starts moving randomly in any direction $($ it can range from $\theta$ = 0 to 180 degrees) at constant speed $v.$ Note that its direction changes randomly as the particle moves.

Answer the following questions (a) and (b):

Q(a): $\$ Which of the following statements is/are correct?

1. Since the average velocity of the particle is along line $MN,$ the particle will always hit point $N.$
2. The chances of the particle hitting point $N$ decreases as the distance between the walls decreases.
3. In the long run, the particle tends to move far away from line $MN.$
4. There exists a distance between the two walls such that the probabilities of the particle hitting $P$ and $N$ are the same.

Q(b): $\$ If $d(P)$ and $d(Q)$ represent the distances between the two walls at which probabilities of the particle hitting points $P$ and $Q,$ respectively, are maximized, then $\text{\_\_\_\_\_\_\_\_\_\_}.$

1. $d(P) > d(Q)$
2. $d(P) < d(Q)$
3. $d(P) = d(Q)$
4. we cannot say

Give your answer as the option numbers in ascending order for the first question, combined with the option number for the second question. For example, if your answers to the first question are (1) and (3), and that to the second question is (2), then give your answer as 132.