 In this video, we provide the solution to question number 13 for practice exam number 4 for math 10-30, in which case we have a random variable given to us that's created by the following manner. You spin the spinner shown right here two separate times and record the sequence of colors right down the sample space. So the sample space, if you spin, you're going to get two colors. You could spin it once, get a green, you could spin it and get a green again. You could also spin it, get green and a blue, a green and a red, a green and a yellow. So that would be all the cases if you get green first. You could also get blue first, so you could get blue, green, blue, blue, blue, red, blue, yellow. You could also spin it and get red first, so you get a red, green, red, blue, red, red, red, yellow. You could also spin it and get yellow first. You could get yellow, green, yellow, blue, yellow, red and then yellow, yellow. And if you spin it twice, that's the only possibility you can get there. So that would be our sample space. Notice you have four options for the first spin. You have four options for the second spin. So that should give you 16 possible outcomes. We've listed all 16 of them here. And this is then the correct sample space for our random variable.