Question

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

{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}

Answer 1

The union of two events consists of all unique outcomes that occur in at least one of the events. In this case, we will combine the colors from both yours and your friend's spins without repeating any colors.

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

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

The unique colors combined from both sets are:
{red, yellow, orange, blue, purple}

However, among the given options, the closest one that represents the union of the outcomes is:

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

Thus, the correct response is:
**left brace red comma blue comma yellow comma orange comma purple right brace**