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.

Question

You: {red, yellow, red, orange, orange, red}

Friend: {blue, red, orange, purple, purple, red}

Describe which subset would be considered a union of the two events.

(1 point)
Responses

{red, orange}
left brace red comma orange right brace

{red, blue, yellow, orange, purple}
left brace red comma blue comma yellow comma orange comma purple right brace

{green}
left brace green right brace

{blue, yellow}

Answer 1

The union of two events includes all the unique outcomes that occur in either event. In this case, we need to combine the results from both you and your friend and list each color only once.

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

Combining these results, we get:

• From you: red, yellow, orange
• From your friend: blue, red, orange, purple

Now, listing all unique colors, we get:

{red, yellow, orange, blue, purple}

The closest option that matches this set would be:

{red, blue, yellow, orange, purple}

So, the correct response is:

{red, blue, yellow, orange, purple}.