Question

using a list a jar contains three marbles: 1 yellow (w), 1 orange (o), and 1 red (r). which list shows all the possible outcomes for choosing two marbles at random from the jar if the first marble is replaced after it is drawn? how many of the outcomes contain at least one yellow marble?

Explanation:

Step1: List all possible outcomes

Since we are choosing with replacement, the possible outcomes when drawing two marbles are: (W, W), (W, O), (W, R), (O, W), (O, O), (O, R), (R, W), (R, O), (R, R). So there are a total of $3\times3 = 9$ outcomes.

Step2: Identify outcomes with at least one yellow

Now we identify the outcomes that have at least one yellow marble (W). These are: (W, W), (W, O), (W, R), (O, W), (R, W). Let's count them: that's 5 outcomes.

Answer:

5