Q.A die is thrown twice. Write the sample space in set-builder form, and state $n(S)$.

A random experiment is an action with more than one possible outcome where the result cannot be predicted in advance, even though every possible outcome is known beforehand — tossing a coin or rolling a die are the standard examples, as opposed to a deterministic experiment (e.g. heating water to $100^\circ\text{C}$), which always gives the same result. A single performance of a random experiment is a trial, and its result is an outcome. The sample space $S$ is the set of all possible outcomes of a random experiment, and each individual outcome is a sample point. $S$ may b …