MHB -aux.01 Venn diagram universal set U and sets A and B.

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The discussion focuses on the calculation of the probability of the union of sets B and the complement of set A, denoted as B ∪ A'. The participants confirm that the ratio of the size of this union to the universal set U is 35 out of 100, simplifying to 7 out of 20. The calculations are verified as correct, emphasizing the accuracy of the probability representation. The conversation highlights the importance of understanding set operations in probability theory. Overall, the discussion effectively clarifies the relationship between the sets involved.
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so I have $B\cup A'$

(c)
$\displaystyle\frac{n(B\cup A')}{n(U)}=\frac{35}{100}=\frac{7}{20}$
 
karush said:
so I have $B\cup A'$

(c)
$\displaystyle\frac{n(B\cup A')}{n(U)}=\frac{35}{100}=\frac{7}{20}$

That is correct. :D
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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