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

{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 consists of all the unique outcomes that appear in either event. In this case, we need to combine the results of your spins and your friend's spins while ensuring that we only list unique colors.

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

Now, combining the unique colors from both sets:
- From your spins: red, yellow, orange
- From your friend's spins: blue, red, orange, purple

The unique colors from both sets are: red, yellow, orange, blue, purple.

So the union of the two events is {red, yellow, orange, blue, purple}.

Among the responses provided, the correct subset that represents the union of the two events is:

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