mathematically, your original question was not actually you wanted after read your more post in the threads. the question should be Assuming a fair coin, what is the probability of getting at least 86 heads (non-consecutive) from 132 coin tosses? because the probability for your original question is extremely small. the probability for the revised version will be reasonable but none in this thread gave you the right answer yet.
Don't bother working on reading comprehension now, but this has already been dealt with.
