Probability - A coin comes up heads about 60% of the time. If it is tossed 10 times, what is the probability that exactly between 5 and 7 heads occur consecutively?
(I received the following clarification: It is the probability of getting exactly 5 consecutively or exactly 6 consecutively or exactly 7 consecutively.)
I was thinking of a binomial distribution, but not so sure that will address the precise details or is there a chance this is 10 Bernoulli trials and we need to find the conditional probability that all successes will occur consecutively (ie, no two successes will be separated by any failures) and we need to give the number of successes between 5 and 7. Then I think the denominator will be the binomial distribution summing from k=5 to k=7, but then not sure of the numerator precisely.
Please show details so I may understand the correct process.