# Probability Question

• Aug 21st 2007, 07:10 AM
Freyalise
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.

• Aug 21st 2007, 09:08 AM
JakeD
Quote:

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.