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

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

Answer 1

In the given experiment, we have two coins in a bag: a nickel (N) and a quarter (Q). The selection is done twice with replacement, meaning after each selection, the coin is put back in the bag before the next selection.

To determine the sample space, we can list all possible outcomes for the two selections:

1. The first coin can be either N or Q.
2. The second coin can also be either N or Q.

The possible outcomes can be represented as ordered pairs (First selection, Second selection):

1. (N, N) - selecting a nickel first and then a nickel again
2. (N, Q) - selecting a nickel first and then a quarter
3. (Q, N) - selecting a quarter first and then a nickel
4. (Q, Q) - selecting a quarter first and then a quarter

Thus, the sample space consisting of all the combinations is:

• NN
• NQ
• QN
• QQ

Therefore, the correct answer is: NN, NQ, QN, QQ.