Suppose we flip 10 times an unfair coin that fall a probability of $p$ on 'heads'. Knowing that we obtained 'heads' 6 times out of the 10 flips, find the conditionnal probability of the first three flips being heads, tails, tails.
My effort: Since we don't know the exact probability of getting heads i would think it would be somthing like:
A: Probability of getting 6 'head' out of 10 B: Probability for the first 3 flip to be 'heads''tails''tails'
Any help to point me in the right direction would be greatly appreciated.