Understanding the Calculation of Hospital Emergency Visits A ∩ B and A U B

  • Thread starter Thread starter robax25
  • Start date Start date
Click For Summary

Homework Help Overview

The discussion revolves around the calculation of the union and intersection of two events, A and B, in the context of hospital emergency visits. Participants are trying to understand the definitions and calculations associated with A ∩ B (the intersection) and A U B (the union).

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants are questioning the calculations for A U B and A ∩ B, specifically why certain values are included or excluded. There are discussions about potential typos in the provided data and misinterpretations of the equations.

Discussion Status

There is an active exploration of the calculations, with some participants providing insights into possible errors in the original data. Multiple interpretations of the calculations are being discussed, particularly regarding the inclusion of specific values.

Contextual Notes

Participants note discrepancies between their calculations and the results presented in a book, suggesting that there may be missing information or errors in the original problem setup.

robax25
Messages
238
Reaction score
3
Homework Statement
A ∩ B and A U B
Relevant Equations
The question is taken from a Book. I don't understand how A ∩ B and AUB is calculated?
A ∩ B and A U B
Untitled1001.png
Untitled100.png
 
Last edited by a moderator:
Physics news on Phys.org
robax25 said:
I don't understand how A ∩ B and AUB is calculated?
The text in the first image describes the events A and B. In words, what does the event A ∩ B mean? What does the event A U B mean?

Per the forum rules, you must show some effort. I've cut you some slack here by not issuing a warning.
 
If I calculate A u B = 5292 + 270 + 246 but there is 242 as well. why is not 242 added? The second question is that A ∩ B = 5292 +953 - 195 but why does he add 953 to the equation?
 
robax25 said:
If I calculate A u B = 5292 + 270 + 246 but there is 242 as well. why is not 242 added? The second question is that A ∩ B = 5292 +953 - 195 but why does he add 953 to the equation?
The ##242## should be added. It looks like a typo.

##953## is the total number of LWBS, which is set ##B##.
 
  • Like
Likes   Reactions: FactChecker
robax25 said:
The second question is that A ∩ B = 5292 +953 - 195 but why does he add 953 to the equation?
This is misreading their answer. They are saying that the count of ##A \cup B ## is 5292+953-195, not ##A \cap B##.
 
  • Like
Likes   Reactions: PeroK
robax25 said:
If I calculate A u B = 5292 + 270 + 246 but there is 242 as well. why is not 242 added? The second question is that A ∩ B = 5292 +953 - 195 but why does he add 953 to the equation?
I agree with @PeroK .

5292 + 270 + 246 = 5808 , but Book has the result being 6050 .

Looking further, 6050 − 5808 = 242 .

So, clearly the 242 was omitted mistakenly.
 
  • Like
Likes   Reactions: FactChecker

Similar threads

Replies
8
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
Replies
21
Views
3K
  • · Replies 6 ·
Replies
6
Views
3K
Replies
2
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
22
Views
3K
  • · Replies 24 ·
Replies
24
Views
3K
Replies
9
Views
6K