Suppose you flip a coin 10 times in a row. Calculate the probability that exactly one flip is heads, i.e. P(H=1) where H is the number of heads flipped in 10 trials. Also calculate the probability that at least one of the flips is heads, i.e. P(H≥1).

Now Suppose you flip six coins at the same time. What is the most likely outcome, i.e. the most common number of heads and number of tails on a single flip? Calculate the probability of acquiring that outcome on any one flip of all six coins.