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
Messages
14
Reaction score
0
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
 
Mathematics news on Phys.org
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...
View full post »
Thread 'Imaginary Pythagoras'

Thread 'Imaginary Pythagoras'

I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...
View full post »

Thread 'Fermat's Last Theorem'

Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
View full post »

Similar threads

B Cool fact about number of digits in n!
Replies
3
Views
2K
MHB Finding Even Natural Numbers w/ No Repetition: 0-5 & 6
Replies
1
Views
1K
B How to pick some numbers out of 13 integers, by a 4 digits code
Replies
4
Views
2K
MHB Probability: Find the number of ways to form 4-digit numbers >3000
Replies
4
Views
2K
MHB Recreational Number Theory, Unsolved Problem
Replies
1
Views
2K
MHB How many nine-digit numbers meet these criteria?
Replies
1
Views
924
B Squaring finite decimals of 2/3 and 1/3 - growing patterns
Replies
1
Views
1K
I Need help understanding base-10 number format please
Replies
2
Views
1K
B Confused about ciphers in the book 'Arithmetic for the Practical Man'
Replies
13
Views
2K
MHB Solving Permutations Question with Restrictions
Replies
3
Views
1K

Hot Threads

Recent Insights

Back
Top