Determine the sample space for an experiment where a coin is selected from a bag three times. There are three coins placed in the bag: a nickel (N) a quarter (Q) and a dime (D) Each time a coin is selected it is replaced before selecting the next coin.
Will that be 12 in total possible outcomes?
3 answers
Yes, the sample space for this experiment will have 27 possible outcomes. Each time a coin is selected, there are 3 possible outcomes (N, Q, or D). So for three selections, the total number of possible outcomes is 3^3 = 27.
I am sorry. I think you made a mistake when answering. Can you take a read again please? Thanks
Apologies for the error. Let's determine the correct number of possible outcomes for this experiment:
For each selection, there are 3 possible coins that can be chosen from the bag (nickel, quarter, or dime). Since each coin is replaced before the next selection, the sample space for the experiment will have 3 outcomes for each selection.
Therefore, for three selections, the total number of possible outcomes will be 3 * 3 * 3 = 27.
So, there will be 27 possible outcomes in total for this experiment.
For each selection, there are 3 possible coins that can be chosen from the bag (nickel, quarter, or dime). Since each coin is replaced before the next selection, the sample space for the experiment will have 3 outcomes for each selection.
Therefore, for three selections, the total number of possible outcomes will be 3 * 3 * 3 = 27.
So, there will be 27 possible outcomes in total for this experiment.
1 answer