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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 point) Responses NQ, QN, NN, QN NQ, QN, NN, QN NN, QQ NN, QQ NN, NQ, QN, QQ NN, NQ, QN, QQ NN, NQ, QN

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In this experiment, you are selecting a coin from a bag that contains a nickel (N) and a quarter (Q) two times, and since each coin is replaced after selection, the selections are independent.

The possible outcomes for each selection are:

  1. Nickel (N)
  2. Quarter (Q)

When selecting two coins with replacement, the outcomes can be considered as ordered pairs, where the first element is the result of the first selection and the second element is the result of the second selection.

The complete sample space \( S \) is:

  • NN (Nickel first, Nickel second)
  • NQ (Nickel first, Quarter second)
  • QN (Quarter first, Nickel second)
  • QQ (Quarter first, Quarter second)

Thus, the sample space is: \[ S = {NN, NQ, QN, QQ} \]

So, the correct response from the options provided is: NN, NQ, QN, QQ