Question

Kevin is doing an experiment where he flips a fair coin 20 times and analyzes the results. The coin has come up heads the first 19 trials. What is the conditional probability that the next flip will come up tails, given that the previous 19 flips were heads? Explain why your answer makes sense.

Answer 1

it's still 50%

each flip is an independent probability. what happened the first 19 times is irrelevant, because it's still a 50-50 chance on any independent flip.