Here's the dangerous scenario that you've gotten yourself into:
You’re stranded in a rainforest, and you’ve eaten a poisonous mushroom. To save your life, you need an antidote excreted by a certain species of frog. Unfortunately, only the female frog produces the antidote. The male and female look identical, but the male frog has a distinctive croak.
As you begin to lose consciousness, you find yourself standing equidistant between two points. At one of them is a single frog. At the other are two frogs. You just heard the sound of the male croaking from the second point. You have time to get to one of those points and begin frantic frog licking. Which direction do you choose?
The answer isn't quite so obvious. Derek Abbott explains in this demonstration of conditional probability.
Monty Hall Problem
If you are shown a "wrong" door and are given the chance to switch before the final reveal, it is in your interest to do so as the probability of winning is higher. Seems counter-intuitive, but the math proves it.