Determine the sample space for an experiment if a coin is selected from a bag three times. There are three coins in the bag: a nickel (N), a quarter (Q), and a dime (D). Each time a coin is selected, it is replaced before selecting the next coin.

Answer 1

The sample space for this experiment consists of all possible outcomes when selecting a coin from the bag three times, taking into consideration that a coin is replaced after each selection.

Therefore, the sample space is:

{NNN, NND, NQN, NQD, NDN, NDD, QNN, QND, QQN, QQD, QDN, QDD, DNN, DND, DQN, DQD, DDN, DDD}