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

{blue, yellow}
left brace blue comma yellow right brace

{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
Skip to navigation

Answer 1

To find the union of the two sets of spins, we combine all unique colors that appear in either your spins or your friend's spins.

Your spins: {red, yellow, red, orange, orange, red} → Unique colors are {red, yellow, orange}
Friend's spins: {blue, red, orange, purple, purple, red} → Unique colors are {blue, red, orange, purple}

Now we combine the unique colors from both sets:

• From your spins: red, yellow, orange
• From your friend's spins: blue, red, orange, purple

The unique colors in the union are: {red, yellow, orange, blue, purple}

Now, we compare this union with the provided response options.

The only option that includes the colors from the union and excludes duplicates is: {red, blue, yellow, orange, purple}.

Therefore, the correct answer is: {red, blue, yellow, orange, purple} (left brace red comma blue comma yellow comma orange comma purple right brace).