1. ## Probability Question

Hi guys, first time poster. I hope this section is the most appropriate for my problem - please feel free to move it if it is too basic

A fair coin is flipped n times.

What is the probability that there are at least k consecutive heads in these flips?

If the k-generalisation is making the working awkward then please just solve it for k = 2 because I think I know how to get from there to the general answer.

2. Originally Posted by Freyalise
Hi guys, first time poster. I hope this section is the most appropriate for my problem - please feel free to move it if it is too basic

A fair coin is flipped n times.

What is the probability that there are at least k consecutive heads in these flips?

If the k-generalisation is making the working awkward then please just solve it for k = 2 because I think I know how to get from there to the general answer.

It looks to me like you want $1 - P(M_n^{(k)} = 0)$ from Theorem 1 in this paper.

This was found by googling Bernoulli trials success runs.

3. Thank you very much.

My Maths is not marvellous so that paper will need some study but it looks like exactly what I need. I'm glad the problem was nontrivial after all at least.