Everything is in the title, basically. We flip a coin 10 times. What is the probability of at least 5 consecutive heads? I thought it was like this: Those 5 heads can start at spots 1-6 in 10 flips, so there are 6 possibilities. The rest of times, we can get anything, so there are 2^5 possibilities. That means 6*2^5 in total (favorable outcomes) Total outcomes: 2^10 so P=(6*2^5)/(2^10) However, this is supposedly not correct. Can someone tell me why and provide the solution? Thanks.