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)
• {blue, yellow}
O {green}
• {red, blue, yellow, orange, purple}

Answer 1

The union of two sets includes all the unique elements from both sets. In this case, we take the results from both your spins and your friend's spins.

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

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

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

Now combining both sets and eliminating duplicates:

Union = {red, yellow, orange, blue, purple}

The options provided for the union do not exactly match this union; however, the closest and plausible option that includes the unique colors from both spins is:

• {red, blue, yellow, orange, purple}

Hence, the correct answer is: • {red, blue, yellow, orange, purple}