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

{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

{blue, yellow}

Answer 1

The union of two sets includes all unique elements from both sets, without duplicating any elements.

In this case, you spun the colors: {red, yellow, red, orange, orange, red} Your friend spun the colors: {blue, red, orange, purple, purple, red}

Combining the unique colors from both sets, we get:

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

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

Thus, the correct response for the union of the two events is: {red, blue, yellow, orange, purple}