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

{green}
left brace green right brace

{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

{blue, yellow}

Answer 1

The union of two events is the set of outcomes that occur in either event or in both events. In this case, the events consist of the colors obtained from the spins of you and your friend.

You spun: {red, yellow, red, orange, orange, red}
Your friend spun: {blue, red, orange, purple, purple, red}

To determine the union, we combine the unique colors from both sets:

From your spins, the unique colors are: {red, yellow, orange}
From your friend's spins, the unique colors are: {blue, red, orange, purple}

The union of these two sets is:
{red, yellow, orange} ∪ {blue, red, orange, purple} = {red, yellow, orange, blue, purple}

Looking at the provided options, the correct subset that represents the union of the two events is:
**{red, blue, yellow, orange, purple}**

So the correct response is:
{red, blue, yellow, orange, purple}