Some problems that are popular on the internet are in correctly classified as paradoxes but are not paradoxes at all - they are simply problems that have answers that might seem to defy common intuition and therefore have answers that come under suspicion. These are not paradoxes

First. A true paradox is a logical contradiction that CANNOT be resolved by the current axioms. Famous paradoxes that are well known include:

1) Russel's Paradox involving set theory and the paradox arising from the set of all sets that do not contain themselves.

2) A more popular paradox that's been around for many years arises in the Barber Problem and asking "Who shaves the Barber?"

3) Another popular one arises from 2 statements written on opposite sides of one sheet of paper. On one side is the statement "The statement on the other side of this sheet paper is true" and on the flip side is the statement "The statement on the other side of this sheet of paper is false"

All 3 of these are not resolvable and thus lead to a logical contradiction and are , in fact, true paradoxes.

On the other hand there are problems often described as paradoxes which are not.

1) The Birthday Problem- what is P(that at least 2 people have the same birthday in a group of n people) ? When n = 35 the probability > 80% . A surprising result to a lot of people but the answer is totally correct and therefore not a paradox.

2) The False Positive Problem which arises when a rare disease is present in the population. Percentages are given concerning the reliability of blood tests. When you calculate P(you actually have the disease given that you have tested positive) the result always turns out to be so low that it goes against popular intuition. Again, not a paradox.

Maybe this can be an informative video.