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

{green}
left brace green right brace

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

Answer 1

In set theory, the union of two sets is the set of all distinct elements that are in either set.

You spun: {red, yellow, red, orange, orange, red} which simplifies to {red, yellow, orange}.

Your friend's spins were: {blue, red, orange, purple, purple, red} which simplifies to {blue, red, orange, purple}.

The union of your spins and your friend's spins would combine all unique elements from both sets:

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

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

So, the correct response reflecting the union of the two events from the options given is:

{red, blue, yellow, orange, purple}

In set notation, that's:

{red, blue, yellow, orange, purple}