MHB Probability of matching numbers

AI Thread Summary
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 'Trigonometry problem of interest'

Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
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