Determine the sample space for an experiment where a coin is selected from a bag two times. The two coins placed in the bag are a nickel (N) and a quarter (Q). Each time a coin is selected, it is replaced before selecting the next coin.(1 point)

Question

Responses

NN, NQ, QN, QQ
NN, NQ, QN, QQ

NQ, QN, NN, QN
NQ, QN, NN, QN

NN, NQ, QN
NN, NQ, QN

NN, QQ

Answer 1

In this experiment, we are selecting a coin (either a nickel (N) or a quarter (Q)) from a bag two times, with replacement. This means that after each selection, the chosen coin is put back into the bag before the next selection.

Each selection has two possible outcomes: either N (nickel) or Q (quarter). Therefore, when we perform this experiment twice, we can list all possible outcomes:

1. Select N first, then N second: NN
2. Select N first, then Q second: NQ
3. Select Q first, then N second: QN
4. Select Q first, then Q second: QQ

Thus, the complete sample space for the experiment is:

\[ { NN, NQ, QN, QQ } \]

The correct response is:

NN, NQ, QN, QQ