Choose The Powerball Numbers!

Question

Powerball is an American lottery that has recently gained attention because the current jackpot (as of January 11, 2016) is the largest lotto prize in history, at about $1.5 billion (USD).

Powerball players choose 5 distinct numbers from 69 numbered white balls, and 1 one "Powerball" number from 26 numbered red balls. They win the jackpot if their five white ball choices match what was drawn in any order, and if they chose the correct "Powerball" number.

So the chances of winning the jackpot are 1 in (69 choose 5)*(26 choose 1) or ((69*68*67*66*65)/(5*4*3*2*1))*26, which is 1 in 292,201,338

No one won the jackpot in the most recent drawing on January 9, 2016, but perhaps someone will win the next drawing on January 13, 2016, 10:59 pm ET.

Challenge

Write a program or function that simulates a Powerball drawing, taking no input but outputting 5 distinct random numbers from 1 to 69 inclusive, and then one random "Powerball" number from 1 to 26 inclusive (which could be a repeat of one of the 5 initial numbers).

The "Powerball" number should always be the last number in the output, but otherwise the order of the first 5 numbers does not matter.

The 6 numbers should be output in decimal, either space separated or newline separated, with an optional single trailing newline. Commas, brackets, and other characters are not allowed in the output.

So these would be valid outputs (using the numbers from the last drawing):

32 16 19 57 34 13

32
16
19
57
34
13

All 292201338 possible outcomes should be possible with uniform probability. You may use built-in pseudo-random number generators and assume they meet this standard.

Here is an ungolfed reference implementation that works in Python 2 or 3:

import random
print(' '.join(map(str, random.sample(range(1,70), 5) + [random.randint(1, 26)])))

The shortest code in bytes wins.

---

^{Note that I have no affiliation with Powerball and don't really suggest that you play. But if you win anything from numbers generated by one of the programs here, I'm sure we'd love to hear about it. :D}

Answer 1

Dyalog APL, 10 bytes

(5?69),?26

Dyadic ? is ⍺ distinct random numbers in [1,⍵], and monadic ? is a single random number.

Try it here.

Answer 2

CJam, 16 bytes

69,mr5<26mr+:)S*

69,   range(69)
mr    shuffle the generated array
5<    first 5 elements
26mr  random number 0..25
+     concat to array
:)    increment each array element
S*    join with spaces

Try it online.

Answer 3

MATL, 10 bytes

69 5Zr26Yr

Uses current version (9.2.0) of the language/compiler.

Example

With compiler run on Matlab:

>> matl
 > 69 5Zr26Yr
 > 
66
59
64
56
29
12

With compiler run on Octave:

>> matl
 > 69 5Zr26Yr
 >
2 69 41 44 23
22

The first five numbers are separated by space, not by newline. This is due to Octave's underlying randsample function behaving differently from Matlab's (and has been corrected in a new version of the compiler). Anyway, newline and space are both allowed by the challenge.

Edit (April 4, 2016): Try it online!

Explanation

69 5Zr    % randsample(69,5), without replacement by default. Gives a 5x1 column vector
26Yr      % randi(26). Gives single number
          % implicit display

See relevant Matlab functions: randsample and randi.

Answer 4

Ruby, 33 32

p *[*1..69].sample(5),rand(26)+1

Ruby happens to have a built-in method, sample, that selects random values from an array without replacement. Thanks to QPaysTaxes for pointing out that I don't need the parens.

Answer 5

R, 30 29 bytes

cat((s=sample)(69,5),s(26,1))

The sample function performs simple random sampling from the input. If a single integer is given as the first argument, sampling is done from 1 to the argument. The sample size is the second argument. We're employing the default option of sampling without replacement.

Try it online

Answer 6

Python 3.5, 63 bytes

from random import*
print(*sample(range(1,70),5),randint(1,26))

It's basically the reference implementation golfed. Note that 3.5 is necessary to splat in a non-last argument.

Answer 7

PowerShell v2+, 31 27 bytes

1..69|Random -c 5;Random 27

Requires version 2 or newer, as Get-Random wasn't present in v1 (the Get- is implied, and -Maximum is positional). Output is newline separated.

Ungolfed:

Get-Random -InputObject (1..69) -Count 5
Get-Random -Maximum 27

Answer 8

Octave, 35 32 bytes

Calvin's Hobbies confirmed that ans = was OK when using a function, so:

@()[randperm(69)(1:5),randi(26)]

It has similarities to Memming's answer, but it uses direct indexing that's only possible in Octave, and it's 5 7 bytes shorter, so I figured it was worth posting anyway.

randperm(69) creates a list with a random permutation of the numbers 1-69. It's possible to directly index the list (not possible in MATLAB) to only get the first 5 numbers like this (1;5). The list is followed by randi(26) which returns a single number between 1 and 26.

Old:

disp([randperm(69)(1:5),randi(26)])

The resulting list is displayed using disp.

Answer 9

Shell + coreutils, 31

shuf -i1-69 -n5
shuf -i1-26 -n1

Answer 10

Pyth - 13 14 13 bytes

Major golfing possible, this was just a FGITW.

jb>5.SS69hO26

Try it online here.

Answer 11

C#, 153 bytes 140 bytes

Thanks to "McKay":

string.Join(" ",Enumerable.Range(1,69).OrderBy(e=>Guid.NewGuid()).Take(5).Concat(Enumerable.Range(1,26).OrderBy(e=>Guid.NewGuid()).Take(1)))

153 bytes solution:

string.Join(" ",Enumerable.Range(1,69).OrderBy(e=>Guid.NewGuid()).Take(5))+" "+string.Join(" ",Enumerable.Range(1,26).OrderBy(e=>Guid.NewGuid()).Take(1))

Simple solution using Linq and shuffling using GUID.

Answer 12

MATLAB, 40

x=randperm(69);disp([x(1:5) randi(26)])

I know. It's the boring solution.

Answer 13

PHP, 69 bytes

<?foreach(array_rand(range(1,69),5)as$k)echo$k+1," ";echo rand(1,26);

Pretty straight forward answer. Generate a 1-69 range, then use array_rand to grab 5 random keys from the array, and echo out the $k+1 value (0-indexed), then echo a random int from 1-26.

Answer 14

Mathematica, 64 bytes

StringRiffle@Append[Range@69~RandomSample~5,RandomInteger@25+1]&

Quite simple.

Answer 15

Brachylog, 40 bytes

1:5e,68{I`random(I)+1=Z`Z=w,"
"w}\;25:1&

Explanation

Brachylog doesn't have a built-in for random numbers (yet...) so we have to use an SWI-Prolog predicate for that: random/1. We can input SWI-Prolog code in Brachylog using backquotes.

1:5e,                             \  § Enumerate from 1 to 5 using \ (backtrack), which
                                     § evaluates to false and thus constructs a loop

     68{                         }   § Declare sub-predicate 1 and call it with 68 as input

        I`random(I)+1=Z`             § Z is the arithmetic expression 'random(I) + 1' where
                                     § I is the input of the sub-predicate

                        Z=w,         § Evaluate Z and write it
                            "\n"w    § Write a new line

;                                    § Else (we will reach this after the 5th iteration of
                                     § the enumeration, since \ is always false)

25:1&                                § Call the sub-predicate 1 with 25 as input

Answer 16

JavaScript (ES6), 106 86 84 bytes

F=(s=new Set,r=Math.random)=>s.size<5?F(s.add(r()*69+1|0)):[...s,r()*26|0+1].join` `

Since we can't uniquely sample randoms in JavaScript, this works by creating a Set (which only holds unique values), recursively adding randoms (1-69) until there are 5 unique ones, appending a random number (1-26), then joining and returning it all out.

Answer 17

Ruby, 47 43 39 bytes

puts *(1..69).to_a.sample(5),rand(26)+1

I think it can be golfed more, but I'll work on that once I'm done admiring how pretty this code looks, considering.

It works pretty much the same way as everything else: Take an array of the numbers 1 to 69, shuffle them, get the first five, output those, then output a random number between 1 and 26.

I went through a few iterations before posting this:

puts (1..69).to_a.shuffle.first(5).join(' ')+" #{rand(26)+1}"  #61
puts (1..69).to_a.shuffle[0..5].join(' ')+" #{rand(26)+1}"     #58
puts (1..69).to_a.shuffle[0..5].join('<newline>'),rand(26)+1   #52
puts *('1'..'69').to_a.shuffle[0..5],rand(26)+1                #47
puts *('1'..'69').to_a.sample(5),rand(26)+1                    #43

(where <newline> is replaced with an actual newline)

EDIT: Whoops, didn't see the preexisting Ruby answer. I stumbled on sample and was scrolling down to edit my answer, but then I saw it... Oh well. My final score is 43 bytes, but I'll keep golfing a little to see how well I can do.

Answer 18

Elixir, 83 Bytes

Enum.reduce Enum.take_random(1..69,5)++[Enum.random(1..26)],fn(x,a)->"#{a} #{x}"end

When just IO.putsing an array of integers, Elixir will interpret the integers as characters and therefore output some string instead of the desired powerball numbers. So, we have to reduce the integer array down to a string.

Answer 19

PARI/GP, 71 70 bytes

apply(n->print(n),numtoperm(69,random(69!))[1..5]);print(random(26)+1)

It generates a random permutation of [1..69], then takes the first 5.

Unfortunately this is an inefficient user of randomness, consuming an average of 87 bytes of entropy compared to the information-theoretic ideal of 3.5. This is mainly because the entire permutation is generated instead of just the first 5 members, and also because the perms are ordered (losing lg 5! =~ 7 bits). Further, random uses a rejection strategy rather than using arithmetic coding. (This is because PARI uses Brent's xorgen, which is fast enough that the overhead from more complicated strategies is rarely worthwhile.)

There are three 'obvious' changes which do not work under the current (2.8.0) version of gp. random and print could be stored in variables, and print could be called directly rather than via the anonymous -> function:

r=random;apply(p=print,numtoperm(69,r(69!))[1..5]);p(r(26)+1)

Together these would save 9 bytes. Unfortunately both functions are valid without arguments, and hence are evaluated immediately rather than stored, so these do not compute the desired output.

Answer 20

Perl 5, 59 bytes

{say for(sort{-1+2*int rand 2}1..69)[0..5];say$==1+rand 25}

It's a subroutine; use it as:

perl -M5.010 -e'sub f{...}f'

Answer 21

PHP, 65 bytes

<?=join(' ',array_rand(array_flip(range(1,69)),5))." ".rand()%26;

Thanks to the other PHP answer on this page. I wrote up a program on my own, and it turned out to be the exact same answer as the one written by Samsquanch, which drove me to take it a step further to save a few bytes.

If anyone can figure out a way to append one array to another in here that's less than the 5 bytes it takes me to join the powerball number on after, I would greatly appreciate it, cause it's driving me nuts! The best I could come up with would be after array_rand and before join, having a statement something like +[5=>rand()%25], but that's an extra byte over just concatenating it on after.

<?=                                                              // This represents an inline 'echo' statement
                                  range(1,69)                    // Get an array of all numbers from 1 to 69 inclusive
                       array_flip(           )                   // Swap the keys and values.
            array_rand(                       ,5)                // Get a random subset of five keys.
   join(' ',                                     ).rand()%26     // Concatenate the array with spaces, along with the powerball number

Run it through the command line. Sample:

C:\(filepath)>php powerball.php

Output:

 12 24 33 67 69 4

Answer 22

Intel x86 Machine code, 85 bytes

¿I ±‰ø1Ò»E ÷óB‰Ðè+ ‰þÑç÷ƒÇþÉ„Éuâ‰ø1Ò» ÷óB‰Ðè
 0ä͸ ͱëÆÔ
00†Äˆã´ÍˆØÍ° ÍÃ

Well it does sometimes print the same numbers if so, just try again by pressing a key.

Compile with:

nasm file.asm -o file.bin

Make sure to align it to a floppy size (add zeros at the end) in order to mount it to a vm (it does not need any operating system).

Disassembly:

BITS 16
ORG 0x7c00

mov di,73 ;starting seed
mov cl,5 ;we need five numbers

loop:

mov ax,di

xor dx,dx
mov bx,69
div bx
inc dx
mov ax,dx

call print_rnd_number

mov si,di
shl di,1
add di,si
add di,7

dec cl

test cl,cl
jne loop

mov ax,di

xor dx,dx
mov bx,26
div bx
inc dx
mov ax,dx

call print_rnd_number

xor ah,ah
int 0x16
mov ax,0x0002
int 0x10
mov cl,5
jmp loop

print_rnd_number:
aam
add ax,0x3030
xchg al,ah
mov bl,ah
mov ah,0x0E
int 0x10
mov al,bl
int 0x10
mov al,' '
int 0x10
ret

Answer 23

C, 142 bytes

i,x[6],n;main(j){for(srand(time(0));i<6;n-i?0:printf("%d ",x[i]),i++)for(x[n=j=i]=(69-i/5*43)*(rand()/2147483647.)+1;i<6&&j--;)i-=x[i]==x[j];}

Not terribly happy with this solution as it feels like there should be more golfing opportunity. I'll look at it again tomorrow with fresh eyes. Try it here.

Answer 24

Swift, 165 bytes

import UIKit;var a=[Int]();for i in 0...5{func z()->Int{return Int(arc4random_uniform(i<5 ?68:25)+1)};var n=z();while i<5&&a.contains(n){n=z()};a.append(n);print(n)}

Can quickly be run in an Xcode Playground.

EDIT: Current problem here is that it's theoretically possible for this to run forever in the while loop if arc4random_uniform somehow keeps pulling the same number. The odds of that happening, for any significant length of time, are probably better than the odds of winning the Powerball.

Answer 25

Perl 6,  32  31 bytes

# space is necessary so that the parens denote a list
# rather than being part of the call to `put`
put (pick(5,1..69),(1..26).pick) # 32 bytes
# 25 35 57 67 62 24␤

---

Turning it into a function that returns a string, I can remove 4 bytes (put␠) while only adding 3 ({~ })

{~(pick(5,1..69),(1..26).pick)} # 31 bytes

Usage:

say {...}().perl; # use .perl to prove it returns a string
# "25 35 57 67 62 24"

---

If a function were allowed to return a list of the values, the following would also work.

( Otherwise it would be the same as above but within { } )

• function that returns a single flat list

  {|pick(5,1..69),(1..26).pick} # 29 bytes
  # (25,35,57,67,62,24)
  

• function that returns a list with the first 5 numbers in a sub list

  {pick(5,1..69),(1..26).pick} # 28 bytes
  # ((25,35,57,67,62),24)
  

• function that returns a list with the first 5 in a sub list, and the Powerball in another sub list

  {pick(5,1..69),pick 1,1..26} # 28 bytes
  # ((25,35,57,67,62),(24,))
  

Answer 26

Seriously, 35 bytes

My first attempt at an answer in a golfing language.

Feels longer than it should have to be.
The repetition could likely be removed with W, but it seems to be broken in the online interpreter and I don't want to post untested code.

Too bad { doesn't work on lists.

Code:

:70:1xi J{. J{. J{. J{. J{.:26:Ju.

Hex dump:

3a37303a317869204a7b2e204a7b2e204a7b2e204a7b2e204a7b2e3a32363a4a752e7f

Explanation:

:70:1x                       # Push a list of the numbers 1-69
i                            # Explode list
 J{.                         # rotate stack random(len(stack)) times and pop/print
 J{. J{. J{. J{.             # same thing 4 more times
:26:Ju.                      # print random number in 1-26
                             # (7F) unprintable, terminate without explicit printing

Online interpreter

Answer 27

Lua, 96 Bytes

A simple solution, using a table as a set by putting the value inside it as table[value]=truthy/falsyto be able to check if they are inside it or not.

I lose 5 bytes because I have to set the first value of my table, else I won't go inside the while(o[n])loop and will simply output n before using the random function. As Lua uses 1-based tables, I also have to force it to put its first value to the cell [0], otherwise I couldn't output a 1.

m,n,o=math.random,0,{[0]=0}for i=1,5 do while(o[n])do n=m(69)end o[n]=0 print(n)end print(m(26))

Ungolfed:

m,n,o=math.random,0,{[0]=0}
for i=1,5
do
  while(o[n])
  do
    n=m(69)
  end
  o[n]=0
  print(n)
end
print(m(26))

Answer 28

C++, 252 bytes

Golfed:

#include<iostream>
#include <random>

int main(){std::random_device rd;std::mt19937 gen(rd());std::uniform_int_distribution<> dis(1,69);for(int c=0;c<=5;c++){std::cout<<dis(gen)<<" ";}int x=dis(gen);while(x>26||x<1){x=dis(gen);}std::cout<<x;return 0;}

Ungolfed:

#include<iostream>
#include <random>

int main()
{
    std::random_device rd;
    std::mt19937 gen(rd());
    std::uniform_int_distribution<> dis(1, 69);
    for(int c = 0; c <= 5; c++){
        std::cout<<dis(gen)<<" ";
    }
    int x = dis(gen);
    while (x > 26 || x < 1){
        x = dis(gen);
    }
    std::cout<<x;
    return 0;
}