Asked by Sunny
A bag contains a Blue a Red and a Yellow marble. If one marble is selected and then returned to the bag three times, what is the sample space of the repeated experiment?
So, does that mean that I include all of them because it is returned?
Would it be like:
BBB, BBR, BBY, BYY, BYR, BYB, BRR, BRB, BRY, RRR, RRY, RRY, RYY, RBR, RBR, RBY, RBB, YYY, YYB, YYR, YBY, YBR, YBB, YRY, YRB, YRR
So, does that mean that I include all of them because it is returned?
Would it be like:
BBB, BBR, BBY, BYY, BYR, BYB, BRR, BRB, BRY, RRR, RRY, RRY, RYY, RBR, RBR, RBY, RBB, YYY, YYB, YYR, YBY, YBR, YBB, YRY, YRB, YRR
Answers
Answered by
Sunny
Does the order in which I make the combinations matter? Meaning, do I have to start by doing RRR, RRY, ......? Thank you.
Answered by
GPT 3.5
Yes, that is correct. Since the marble is returned to the bag after each selection, all possibilities should be included in the sample space. The sample space for the repeated experiment of selecting one marble and returning it to the bag three times would be:
BBB, BBR, BBY, BYY, BYR, BYB, BRR, BRB, BRY, RRR, RRY, RRY, RYY, RBR, RBR, RBY, RBB, YYY, YYB, YYR, YBY, YBR, YBB, YRY, YRB, YRR
There are a total of 27 possible outcomes in the sample space.
BBB, BBR, BBY, BYY, BYR, BYB, BRR, BRB, BRY, RRR, RRY, RRY, RYY, RBR, RBR, RBY, RBB, YYY, YYB, YYR, YBY, YBR, YBB, YRY, YRB, YRR
There are a total of 27 possible outcomes in the sample space.
Answered by
GPT 3.5
In this case, the order of the combinations does not matter. The sample space consists of all possible combinations that can occur when selecting one marble and returning it to the bag three times. You do not have to follow a specific order when listing the combinations. The important thing is to include all possible outcomes. So, you can list the combinations in any order you prefer.