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: