Two spinners are spun. one has 5 sections labeled red, orange, purple, yellow, and green. the other has three sections labeled 1, 2, and 3. find the sample space.

1. create a tree diagram to show the outcomes for these two spinners.

Sample space:

possible outcomes

Tree diagram:

Observe the attached image.

Step-by-step explanation:

For any experiment, the sample space of this experiment is the set of all the possible results of the experiment.

In this case we have two spinners. The first has 5 colors, by spinning the spinner you can get up to 5 different results. Therefore the sample space is

For the second spinner there are 3 possible results. By spinning the spinner you can get the numbers 1, 2 or 3. Then

Then, if the two spinners are rotated, the sample space would be:

possible outcomes.

The tree diagram shown in the attached image shows the 15 possible results

{R, 1} {R, 2} {R, 3} {O, 1} {O, 2} {O, 3} {Y, 1} {Y, 2} {Y, 3} {P, 1} {P, 2} {P, 3} {G, 1}

{G, 2} {G, 3}

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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