On a more elementary side, the are these probabilistic paradoxes, such as: https://en.wikipedia.org/wiki/Monty_Hall_problem, https://en.wikipedia.org/wiki/Two_envelopes_problem, https://en.wikipedia.org/wiki/Boy_or_Girl_paradox, https://en.wikipedia.org/wiki/Sleeping_Beauty_problem, etc.
Also, this one is fun: https://en.wikipedia.org/wiki/Secretary_problem