I was wondering if for the number Pi some numbers are more likely to appear than others, for example 3.141594 ... The number 1 appears twice does that mean that the probability for the number 1 appearing is greater than for others? This question doesn't have to be specific to Pi alone, it can be applied to any irrational number or infinity I think.
2026-03-29 19:11:51.1774811511
The probability of a number appearing in an approximation of an irrational number?
76 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
1
There are 1 best solutions below
Related Questions in PROBABILITY
- How to prove $\lim_{n \rightarrow\infty} e^{-n}\sum_{k=0}^{n}\frac{n^k}{k!} = \frac{1}{2}$?
- Is this a commonly known paradox?
- What's $P(A_1\cap A_2\cap A_3\cap A_4) $?
- Prove or disprove the following inequality
- Another application of the Central Limit Theorem
- Given is $2$ dimensional random variable $(X,Y)$ with table. Determine the correlation between $X$ and $Y$
- A random point $(a,b)$ is uniformly distributed in a unit square $K=[(u,v):0<u<1,0<v<1]$
- proving Kochen-Stone lemma...
- Solution Check. (Probability)
- Interpreting stationary distribution $P_{\infty}(X,V)$ of a random process
Related Questions in INFINITY
- Does Planck length contradict math?
- No two sided limit exists
- Are these formulations correct?
- Are these numbers different from each other?
- What is wrong in my analysis?
- Where does $x$ belong to?
- Divide by zero on Android
- Why is the set of all infinite binary sequences uncountable but the set of all natural numbers are countable?
- Is a set infinite if there exists a bijection between the topological space X and the set?
- Infinitesimal Values
Related Questions in IRRATIONAL-NUMBERS
- Convergence of a rational sequence to a irrational limit
- $\alpha$ is an irrational number. Is $\liminf_{n\rightarrow\infty}n\{ n\alpha\}$ always positive?
- Is this : $\sqrt{3+\sqrt{2+\sqrt{3+\sqrt{2+\sqrt{\cdots}}}}}$ irrational number?
- ls $\sqrt{2}+\sqrt{3}$ the only sum of two irrational which close to $\pi$?
- Find an equation where all 'y' is always irrational for all integer values of x
- Is a irrational number still irrational when we apply some mapping to its decimal representation?
- Density of a real subset $A$ such that $\forall (a,b) \in A^2, \ \sqrt{ab} \in A$
- Proof of irrationality
- Is there an essential difference between Cartwright's and Niven's proofs of the irrationality of $\pi$?
- Where am I making a mistake in showing that countability isn't a thing?
Related Questions in PI
- Two minor questions about a transcendental number over $\Bbb Q$
- identity for finding value of $\pi$
- Extension of field, $\Bbb{R}(i \pi) = \Bbb{C} $
- ls $\sqrt{2}+\sqrt{3}$ the only sum of two irrational which close to $\pi$?
- Is it possible to express $\pi$ as $a^b$ for $a$ and $b$ non-transcendental numbers?
- Is there an essential difference between Cartwright's and Niven's proofs of the irrationality of $\pi$?
- How and where can I calculate $\left(1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+\cdots\right)\left(1+\frac{1}{2}-\frac{1}{3}-\frac{1}{4}+\cdots\right)?$
- Is $\frac{5\pi}{6}$ a transcendental or an algebraic number?
- Calculating the value of $\pi$
- Solve for $x, \ \frac{\pi}{5\sqrt{x + 2}} = \frac 12\sum_{i=0}^\infty\frac{(i!)^2}{x^{2i + 1}(2i + 1)!}$
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?
For $\pi$ the answer is not known...as far as I am aware, nothing out there would suggest that the digits are distributed non-uniformly. Here is an article which, among other things, gives a histogram of the occurrence digits in the first trillion digits of $\pi$:
http://www.ams.org/samplings/math-history/hap-6-pi.pdf
Still, a trillion is finite and nobody knows what happens as you go further and further out.
For other irrationals, there certainly can be non-uniform distributions. .101001000100001... for example uses only 0's and 1's (a lot more 0's!).