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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 poi nt)

Responses

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

NN, NQ, QN
NN, NQ, QN

NN, QQ
NN, QQ

NQ, QN, NN, QN

1 answer

To determine the sample space for the experiment where a coin is selected from a bag containing a nickel (N) and a quarter (Q) two times, we need to consider all the possible outcomes of selecting the coins. Since each time a coin is selected, it is replaced, the selections are independent.

The possible outcomes for each selection are:

  • First selection: Nickel (N) or Quarter (Q)
  • Second selection: Nickel (N) or Quarter (Q)

Thus, we can list out the possible outcomes for two selections:

  1. First selection N, second selection N: NN
  2. First selection N, second selection Q: NQ
  3. First selection Q, second selection N: QN
  4. First selection Q, second selection Q: QQ

The complete sample space is: {NN, NQ, QN, QQ}.

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