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, 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

{green}
left brace green right brace

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

{red, orange}

Answer 1

The union of two sets includes all unique elements from both sets.

In your case, the results of your spins are:
You: {red, yellow, red, orange, orange, red} → unique colors: {red, yellow, orange}

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

Now, to find the union of your results and your friend's results:
Union = {red, yellow, orange} ∪ {blue, red, orange, purple} = {red, yellow, blue, orange, purple}

Looking at the given responses, the correct union of the two events is:

{red, blue, yellow, orange, purple}

So, the answer should be:
{red, blue, yellow, orange, purple} (left brace red comma blue comma yellow comma orange comma purple right brace)