# Probabilty of a coin head on nth toss after a few coind head tosses? [closed]

Suppose, you have been flipping a fair coin and got coin head 5 times in a row. Now, what is the probability of getting 6th?

On the one hand, it is said that probability is 1/2. On the other hand, the probability that next toss is a part of 6 (or longer) head streak is 2^(-6). So, which answer is right?

I suppose this is philosophical question, as it's about foundations of mathematics.

• Each coin toss has a 50/50 chance of landing heads/tails. See here: stats.stackexchange.com/a/136879 – Mr. Kennedy Jul 7 '18 at 23:35
• Strikes me as entirely a mathematics question. I mean, if this is also philosophy, basically every basic fact of math is a "philosophical question". Vote to close. – Chelonian Jul 8 '18 at 2:26
• Coin tossing is a "memoryless" Markov process, e.g., math.stackexchange.com/questions/116464/… (so the answer's 1/2) – John Forkosh Jul 8 '18 at 6:32
• This may be an interesting question about the realism of probability, but if that you were trying to do here, you need to rephrase the question to reflect it better. – Yechiam Weiss Jul 8 '18 at 6:58