Suggest the experiment of tossing a fair coin four times. The coin has two possible outcomes, heads or tails.
a. List the sample space for the outcomes that could happen when tossing the coin four times. For example, if all four coin tosses produced heads, then the outcome would be HHHH.
b. If each outcome is equally likely, what is the probability that all four coin tosses result in heads? Notice that the complement of "all four heads" is "at least one tail." Using this information, compute the probability that there will be at least one tail out of the four coin tosses.