Suppose an experiment consists of tossing a fair coin until three heads occur. What is the probability that the experiment ends after exactly six flips of the coin with a head on the fifth toss as well as on the sixth?

Question

perl · Answer

what are the possibilities for this sample space (ie how many ways can you accomplish the event you want)

perl · Answer

note that you are given you have heads on fifth and sixth toss

darkprince14 · Answer

There are 12 possible outcomes originally, but since we are given a heads on the fifth and sixth toss, we just need to compute for the probability that we will only have one heads after the first four tosses... Is this correct?

darkprince14 · Answer

Is this a binomial distribution?

perl · Answer

$$ 
\Large { \underline {~} \underline {~} \underline {~} \underline {~}  ~H, H

}$$

perl · Answer

right

perl · Answer

You want probability of getting 
HTTT
THTT
TTHT
TTTH

perl · Answer

yes it is a binomial distribution problem, but its pretty easy to outline the possibilities

darkprince14 · Answer

Thank you. I thought of doing something like the probability of an event goven another event.