In this experiment, a nickel (N) and a quarter (Q) are selected from a bag two times, and each time a coin is selected, it is replaced before the next selection.
The sample space consists of all the possible outcomes of selecting the coins. Since there are two selections and each selection can independently result in either a nickel or a quarter, we can list the outcomes as follows:
- Selecting a nickel first and then a nickel again: NN
- Selecting a nickel first and then a quarter: NQ
- Selecting a quarter first and then a nickel: QN
- Selecting a quarter first and then a quarter again: QQ
Putting it all together, the sample space is: {NN, NQ, QN, QQ}
Therefore, the correct response is:
NN, NQ, QN, QQ