# Extension of Monty Hall problem

I'm solving a single-choice question in the exam. The question has $$4$$ options: A,B,C,D. These are my steps:

$$1$$. I didn't understand any choice of the four, so I randomly selected one: A.

$$2$$. After $$1$$, I figured out that D is wrong, according to the conclusion of Monty Hall problem, I change my answer, randomly chose one between B and C, suppose B. I should change, right? :) to increase probability from $$1/4$$ to $$3/8$$.

$$3$$. After $$2$$, I figured out that C is wrong, so should I change back to A? And what's the probability of each one? What if I figured out A instead of C wrong?

Thanks!