What is the conditional probability that exactly four heads appear when a fair coin is flipped five times

Answer:5/32Step-by-step explanation:If a coin if flipped five times with four heads, then it has exactly one tail. The number of way to arrange four heads and one tail are as follows:T H H H HH T H H HH H T H HH H H T HH H H H TEssentially, there are five way because there are five "positions" where the tail could be.Then, you need to find the total amount of possibilities for flipping a coin five times. Every time you flip it, there are two possibilities- heads and tails. Therefore, for five flips, the total amount of possibilities is2x2x2x2x2 = 32You know that probability= # of desired outcome                    ----------------------------------                         # of total outcomesSo the probablity is 5/32.