Question
Consider the Venn diagram below. Each of the dots outside the circle represents a voter in a swing state. In this experiment,
6 voters are asked whether they support certain issues.
- Three of the voters are registered Republicans: represented by red dots and labeled:
- Three of the voters are registered Democrats: and are represented by blue dots:
The events represented in the Venn diagram are:
- Event A : A voter supporting the new Farm Bill.
- Event B: A voter supporting the new büdget.
Voters
budget. Place the dots in the appropriate event given the information above (you may not use all of the dots) to determine if
the events are mutually exclusive.
6 voters are asked whether they support certain issues.
The events represented in the Venn diagram are:
Voters
budget. Place the dots in the appropriate event given the information above (you may not use all of the dots) to determine if
the events are mutually exclusive.
Ask by Estrada Graham. in Canada
Mar 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Events A and B are not mutually exclusive because voters
Solution
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Beyond the Answer
Let’s dive into this colorful political conundrum! According to the information provided, we have:
- Voters supporting the Farm Bill:
. - Voters supporting the new budget:
.
Now, in the Venn diagram, those who support the Farm Bill go inside Event A, and those who support the new budget go inside Event B. From the voter list, we see that
This common ground shows that Events A and B are not mutually exclusive—some voters support both the Farm Bill and the new budget. So, we’ve not only placed our dots accurately but also realized there’s a shared interest that might just bring our voters together!
And there you have it—a beautiful picture of voters, revealing the complexity of their support. Now, let’s talk about how you can make sense of similar scenarios!
In a case like this, it’s always helpful to create a clear chart or list to keep track of each voter’s preferences, ensuring no one gets left out of the conversation. Remember that overlap is not just common; it’s where discussions can really flourish! Be cautious of falling into common pitfalls—like assuming all voters will fit neatly into one category or overlooking those who straddle the lines. Embrace this complexity and use it to your advantage!
