The sum of the probabilities of the distinct outcomes within a sample space is 1. The sample space for choosing a single card at random from a deck of 52 playing cards is shown below. There are 52 possible outcomes in this sample space. Work it Out 1. In probability and statistics, an event is any subset of the sample space (the set of possible outcomes) of an experiment.For example, flipping a coin five times to see how many heads or tails occur is an experiment, or a trial. There are 9 fair coins and one biased which always comes up tails. The experiment is picking one coin and tossing it 4 times, what is the sample space then? $10*2^4$ seems not considering that biased coin. Shouldn't the sample space be $9*2^4 + 1$? Thanks in advance.