Suppose an experiment consists of tossing a fair coin until three heads occur. What is the probability that experiment ends after exactly six flips of the coin with a head on the fifth toss as well as sixth?
Now I know how to solve for the case; when I have to find probability of three heads to occur in 6 independent tosses of fair coin. I use the binomial distribution with $n$=6 , $x$=3 and get result $P(x=3)$ = 5/16
What confuses me is the last condition of getting head on fifth and sixth trial. How do I proceed?