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, blue, yellow, orange, purple} left brace red comma blue comma yellow comma orange comma purple right brace {red, orange} left brace red comma orange right brace {green} left brace green right brace {blue, yellow}

Answer 1

To find the union of two sets, you combine all the unique elements from both sets, eliminating any duplicates.

In your spins, you have: {red, yellow, red, orange, orange, red} which simplifies to {red, yellow, orange}.

For your friend's spins, they have: {blue, red, orange, purple, purple, red} which simplifies to {blue, red, orange, purple}.

The union of your results and your friend's results combines all the unique colors from both sets:

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

Combining these gives us the unique colors: {red, yellow, orange, blue, purple}.

However, the provided answer choices list {red, blue, yellow, orange, purple} as an option.

Thus, the correct answer for the union of the two events is:

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