Coin tossing questions I had an exam today and I would like to know for sure that I got these answers correct.
A fair coin will be tossed repeatedly.


*

*What is the probability that in 5 flips we will obtain exactly 4 heads.

*Let $X =$ # flips until we have obtained the first head. Find the conditional probability of $P(X=4|X\geq2)$.

*What is the probability that the fifth heads will occur on the sixth flip?


Here are my answers:


*

*$\frac{5}{32}$

*$\frac{1}{8}$

*$\frac{5}{64}$


It seems that the general consensus is that you are right.
