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

Answer 1

In set theory, the union of two sets includes all unique elements from both sets. In this case, we need to determine the unique colors from both your results and your friend's results.

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

Now, to find the union of both sets:

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

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

Among the provided responses, the correct subset that represents the union of the two events is:

{red, blue, yellow, orange, purple}