Question

A spinner has six different colors, all of equal portions: red, yellow, blue, green, orange, and purple. You and a friend each spin the spinner six times and record your results. Following are the spins. You: {red, yellow, red, orange, orange, red} friend: {blue, red, orange, purple, purlple, red{
describe which subset would be considered a union of the two events

Answer 1

To find the union of the two events represented by the spins of you and your friend, we first need to list all the unique colors that appear in both spin sequences.

Your spins: {red, yellow, red, orange, orange, red}
Friend's spins: {blue, red, orange, purple, purple, red}

Next, we compile the unique colors from both sets:

From your spins:
- red
- yellow
- orange

From your friend's spins:
- blue
- red
- orange
- purple

Now, we unify these two lists, ensuring that each color is only listed once:

- red
- yellow
- orange
- blue
- purple

Thus, the union of the two events (the colors resulting from both spins) is:

**Union: {red, yellow, orange, blue, purple}**