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
NN, NQ, QN
NN, NQ, QN
NN, QQ
NN, QQ
NN, NQ, QN, QQ
NN, NQ, QN, QQ
NQ, QN, NN, QN
The sample space for the experiment where a coin is selected from a bag two times is: NN, NQ, QN, QQ
A bag contains a blue button (B), a red button (R), and a yellow button (Y). If one button is selected and then returned to the bag three times, what is the sample space of the repeated experiment?(1 point)
Responses
RRR, RRY, RRB, RYR, RYB, RYY, RBR, RBY, RBB, BBB, BBY, BBR, BYB, BYR, BYY, BRB, BRY, BRR
RRR, RRY, RRB, RYR, RYB, RYY, RBR, RBY, RBB, BBB, BBY, BBR, BYB, BYR, BYY, BRB, BRY, BRR
RRR, RRY, RRB, RYR, RYB, RYY, RBR, RBY, RBB, RRR, BBY, BBR, BYB, BYR, BYY, BRB, BRY, BRR, BBB, YYB, YYR, YBY, YBR, YBB, YRY, YRB, YRR
RRR, RRY, RRB, RYR, RYB, RYY, RBR, RBY, RBB, RRR, BBY, BBR, BYB, BYR, BYY, BRB, BRY, BRR, BBB, YYB, YYR, YBY, YBR, YBB, YRY, YRB, YRR
RRR, RRY, RRB, RYR, RYB, RYY, RBR, RBY, RBB, YYY, YYB, YYR, YBY, YBR, YBB, YRY, YRB, YRR
RRR, RRY, RRB, RYR, RYB, RYY, RBR, RBY, RBB, YYY, YYB, YYR, YBY, YBR, YBB, YRY, YRB, YRR
RRR, RRY, RRB, RYR, RYB, RYY, RBR, RBY, RBB, BBB, BBY, BBR, BYB, BYR, BYY, BRB, BRY, BRR, YYY, YYB, YYR, YBY, YBR, YBB, YRY, YRB, YRR
The sample space of the repeated experiment where one button is selected and then returned to the bag three times is: RRR, RRY, RRB, RYR, RYB, RYY, RBR, RBY, RBB, BBB, BBY, BBR, BYB, BYR, BYY, BRB, BRY, BRR
Use a tree diagram or a table to determine how many possible outcomes there are when a spinner that has three equal parts labeled 1, 2, and 3 is spun three times.(1 point)
Responses
9
9
27
27
81
81
24
To determine the number of possible outcomes when a spinner with three equal parts labeled 1, 2, and 3 is spun three times, we can use the multiplication principle.
Number of outcomes for each spin = 3
Number of spins = 3
Total number of possible outcomes = 3 * 3 * 3 = 27
Therefore, there are 27 possible outcomes when a spinner is spun three times.
So, the correct response is 27.