MHB Probability of matching numbers

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The discussion centers on calculating the probability of two 5-digit numbers having four digits in common and one unique digit. The numbers in question, 12,547 and 11,425, share the digits 1, 2, 4, and 5. Participants seek clarification on whether the probability pertains to the arrangement of these digits or the general matching of four out of five digits. The focus is on understanding the specific conditions for the probability calculation. Clear definitions of the parameters are essential for accurate probability assessment.
Rmbha
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What is the probability of having these 2 sets of numbers with 4 digits the same and 1 unique digit? Thank you.

12,547
11,425
 
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Rmbha said:
What is the probability of having these 2 sets of numbers with 4 digits the same and 1 unique digit? Thank you.

12,547
11,425

Hi Rmbha!

Welcome to MHB. :)

The two numbers have the digits 1,2,4, and 5 as the same. So is the question what is probability of a 5 digit number containing 1,2,4,5 and two other digits with order not mattering? Or is it having 4/5 digits matching in general?
 

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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