# Random sampling with rand(Uniform(0,1), n)

**URL:** https://discourse.julialang.org/t/random-sampling-with-rand-uniform-0-1-n/114962
**Category:** New to Julia
**Tags:** question, random, sampling
**Created:** [May 30, 2024, 10:37am UTC](https://discourse.julialang.org/t/random-sampling-with-rand-uniform-0-1-n/114962 "2024-05-30T10:37:38Z")
**Posts on this page:** 5
**Page:** 1

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### Author: ![Sahil\_Khan](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/sahil_khan/32/47573_2.png) [@Sahil\_Khan](https://discourse.julialang.org/u/Sahil_Khan)
#### Post date: [May 30, 2024, 10:37am UTC](https://discourse.julialang.org/t/random-sampling-with-rand-uniform-0-1-n/114962/1 "2024-05-30T10:37:38Z")

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Hello everyone,

I’m trying to collect some random samples from Uniform distribution `Uniform(0,1)` . What I observe is that most of values are around 10^-1 range so like 0.1, 0.3, 0.7 something like that but it rarely hits low values like 0.001 or 0.0001 etc. Is there a reason for that ? it feels it more preference is given to 0.1 interval based values. Can someone explain it?

example : 100 samples

```julia
julia> rand(Uniform(0,1),100)
100-element Vector{Float64}:
 0.5249199608023001
 0.8031983130758128
 0.8255224947009021
 0.5748273447861918
 0.7031471781803088
 0.7478197128715807
 0.25466920525995174
 0.7471145830396936
 0.5517171665716666
 0.31763847227150077
 0.26487735444679683
 0.574012819213797
 0.7000744042730915
 0.25639758407957514
 0.02485313070819639
 0.5219209193763207
 0.9804886461626476
 0.8636020186367837
 0.9066537849666537
 0.9939500285179668
 0.1326313817064928
 0.1435310329085726
 0.5860093863545383
 0.3384714682313438
 0.712930698005653
 0.33033492596197866
 0.410738576897027
 0.2557602094075623
 0.7672251198764982
 0.5388842460457809
 0.26362446439671405
 0.37832673427682195
 0.5732485182159951
 0.884024870111885
 0.16737082555064164
 0.2565762992185219
 ⋮
 0.06849017259202361
 0.36313676382229976
 0.8299547876243945
 0.9284924529639013
 0.4672929521124921
 0.6449826822277465
 0.7489408319972285
 0.16709740118211858
 0.5991365567380487
 0.32083104127801687
 0.07747665844536411
 0.16622466716606854
 0.8395424194498875
 0.09390760130506948
 0.42760973525018664
 0.15639675823890486
 0.2874074593457234
 0.3234676226656664
 0.2616021199731944
 0.8032550975640945
 0.12002343103333879
 0.0010312551128017766
 0.11931758177921736
 0.4610261883217075
 0.21579799460089233
 0.7991646952708531
 0.13400617332152565
 0.6937386455527602
 0.079334624037112
 0.7085948326010761
 0.16069241487584074
 0.8002060607501278
 0.3498751803361242
 0.6490590082877452
 0.4150492809084607
 0.7312865303310884

```

Thank you 🙂

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<div class="post-metadata">

### Author: ![liuyxpp](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/liuyxpp/32/9870_2.png) [@liuyxpp](https://discourse.julialang.org/u/liuyxpp)
#### Post date: [May 30, 2024, 10:40am UTC](https://discourse.julialang.org/t/random-sampling-with-rand-uniform-0-1-n/114962/2 "2024-05-30T10:40:57Z")

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Try to increase you number of samples and make a histogram instead of observing with naked eyes.

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<div class="post-metadata">

### Author: ![nilshg](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/nilshg/32/2283_2.png) [@nilshg](https://discourse.julialang.org/u/nilshg)
#### Post date: [May 30, 2024, 11:03am UTC](https://discourse.julialang.org/t/random-sampling-with-rand-uniform-0-1-n/114962/3 "2024-05-30T11:03:22Z")

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```julia
julia> using Distributions, GLMakie

julia> hist(rand(Uniform(0, 1), 1_000_000); bins = 0:0.0001:1.0)

```

![image](https://global.discourse-cdn.com/julialang/original/3X/7/c/7c342beb7a7a7f262b44ae7a11cae0b5119f66cc.png)

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<div class="post-metadata">

### Author: ![stevengj](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/stevengj/32/71_2.png) [@stevengj](https://discourse.julialang.org/u/stevengj)
#### Post date: [May 30, 2024, 11:47am UTC](https://discourse.julialang.org/t/random-sampling-with-rand-uniform-0-1-n/114962/4 "2024-05-30T11:47:29Z")

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> [@Sahil\_Khan](#):
>
> What I observe is that most of values are around 10^-1 range so like 0.1, 0.3, 0.7 something like that but it rarely hits low values like 0.001 or 0.0001 etc.

This is just what a uniform distribution means — think about the probabilities.

For a uniform distribution in [0,1], the probability of generating a number \le 0.001 is 0.001 — **one in 1000**. It generates a number **between 0.1 and 1 (= 0.999…) with 90% probability.**

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<div class="post-metadata">

### Author: ![Sahil\_Khan](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/sahil_khan/32/47573_2.png) [@Sahil\_Khan](https://discourse.julialang.org/u/Sahil_Khan)
#### Post date: [May 30, 2024, 12:07pm UTC](https://discourse.julialang.org/t/random-sampling-with-rand-uniform-0-1-n/114962/5 "2024-05-30T12:07:07Z")

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Yeah… I realised that a little late 😅.

Thank you 🙂