Libraries Connected
Add another import line at the top of your program below from sense_hat import SenseHat: from random import randint. 2. Now change your x = and y = lines
9B. Random Simulations
But let's “discover” this through simulation. Page 12. Dice Roll from random import randint as randi. N = 6000000.
9B. Random Simulations The random Module Generating Random
22 janv. 2016 Renaming Imported Functions import random for k in range(1000000): i = random.randint(16) print i from random import randint as randi.
FICHE PRATIQUE
En tapant manuellement la phrase from random import * ou en par exemple import random as rd on pourra alors écrire rd.randint pour appeler la fonction.
BCPST1B from random import randint # Un première fonction qui
from random import randint. # Un première fonction qui simule l'expérience qui renvoie un résultat en respectant. # la loi de probabilité def simul():.
Python Number Game
Then we need to change this guess from a string to an integer. import random numguess = 0 number = random.randint(1 20) #returns random integer within
from random import randint for n in range(151): a=randint(3
https://dosen.ikipsiliwangi.ac.id/wp-content/uploads/sites/6/2020/06/latihan-python.pdf
UNIT 9A Randomness in CompuXng
randint funcXon from the random module. • The randint(ab) returns an integer n such that a ? n ? b. >>> from random import randint. >>> randint(0
Computing - Ghost game See the code below: Use repl.it online to
from random import randint print('Ghost Game') feeling_brave=True score=0 while feeling_brave: ghost_door = randint(1 3) print('Three doors ahead').
Programme Python proposé pour le jeu du nombre à deviner : from
from random import * x = randint(0100) e = int(input("Choisis un nombre entre 0 et 100 :")) i = 1 if e = = x : print("Bravo ! Gagné du premier coup !").
The random Module 9B Random Simulations
random randint(ab) random uniform(ab) random normalvariate(musigma) And as a fringe benefit more practice with for-loops Generating Random Integers That is we randomly select an element from the set {aa+1 b} and assign it to n If a and b are initialized integers with a < b then i = random randint(ab)
9B Random Simulations - Department of Computer Science
from random import randint as randi = 6000000 count = 0 is the number of “experiments” for k in range(N): i = randi(16) is the outcome of an experiment if i==5: count+=1 prob= float(count)/float(N) print prob prob is the probability the outcome is 5 Dice Roll from random import randint as randi
randint() Function in Python - GeeksforGeeks
A Big List of Random Numbers Roll a dice one million times Record the outcomes in a list from random import randint as randi x = [] N = 1000000 for k in range(N): r = randi(16) x append(r) x starts out as an empty list and is built up through repeated appending
Handout: Python cheat sheets
from random import randint dice = randint(16) The random module docs python org/3/library/random html Provides functionality for generating random numbers Note It is standard practice that you place all import statements at the beginning of the program Call the randint function to generate a random integer from 1 to 6 and assign the value that it
While Random Tuples - Unit 5
3 Random Numbers from random import * randint( min max ) – returns a random integer in range [ min max ] inclusive choice( sequence ) – returns a randomly chosen value from the given sequence
CSE 142 Python Slides - IEEE
Hint: 1) import random package use randint to generate two random integers from 1 to 6 2) If the sum of these two is 7 break the loop otherwise continue to read
Week 5 - University of Washington
Random Numbers from random import * randint( min max ) – returns a random integer in range [ min max ] inclusive choice( sequence ) – returns a randomly chosen value from the given sequence • the sequence can be a range a string >>> from random import * >>> randint(1 5) 2 >>> randint(1 5) 5 >>> choice(range(4 20 2)) 16
RANDOM NUMBERS
Python has a module namely random that provides random – number generators Random number means any number generated within the given range To generate random number in Python we have to import random module 3 most common method to generate random number in python are : random() function
RANDOM MODULE randint() function takes starting and ending
RANDOM MODULE randint() function takes starting and ending values both randrange()-function takes only starting value and ending-1 value random()-generates decimal values between 0 and 1 but not include 1 RANDOM MODULE randint() –function takes starting and ending values both randrange()-function takes only starting value and ending-1 value
from random import randint Importing Random Library
Summary Importing Random Library from random import randint Generating Random Number randint( )
Aside on Import
>>> random randint(0 9) 3 >>> random randrange(0 10)#sameasrandint(09) 2 >>> random randrange(0 10) 0 >>> random randrange(0 10) 3 >>> random random() 0 689013943338249 >>> random random() 0 5466061134029843 It's often useful to generate random values to test your programs or to perform scienti c experiments Texas Summer Discovery
Searches related to from random import randint filetype:pdf
1 Import the module import module 2 Use the prede?ned features! module function() 1 Import speci?c feature from module from module import function 2 Use the feature! function() Method A Method B more concise especially if you’re only importing 1-2 things
Is "randint" a function?
- randint() is an inbuilt function of the random module in Python3. The random module gives access to various useful functions and one of them being able to generate random numbers, which is randint(). Syntax : randint(start, end) Parameters :
Is randint inclusive?
- Use randint () when you want to generate a random number from an inclusive range. Use randrange () when you want to generate a random number within a range by specifying the increment. It produces a random number from an exclusive range. You should be aware of some value constraints of a randrange () function.
How do I generate a random number in Python?
- We can use the randint () function from the random module of python and the seed function to generate random integer values. It takes an integer value as an argument. This type of function is called deterministic, which means they will generate the same numbers given the same seed.
1/22/2016
19B. Random Simulations
Topics:
The class random
Estimating probabilities
Estimating averages
More occasions to practice iteration
The random Module
Contains functions that can be used
in the design of random simulations.We will practice with these:
random.randint(a,b) random.uniform(a,b) random.normalvariate(mu,sigma) And as a fringe benefit, more practice with for-loopsGenerating Random Integers
7OMP LV RH UMQGRPO\ VHOHŃP MQ HOHPHQP IURP POH VHP SMMĄ1"N` MQG MVVLJQ LP PR Q
If a and b are initialized integers with a < b
then i = random.randint(a,b) assigns to i M ´UMQGRPµ LQPHJHU POMP VMPLVILHV a <= i <= bJOMP GRHV ´5MQGRPµ 0HMQ"
import random for k in range(1000000): i = random.randint(1,6) print i7OH RXPSXP RRXOG ´ORRN OLNHµ \RX UROOHG M GLŃH
one million times and recorded the outcomes.No discernible pattern.
5RXJOO\ HTXMO QXPNHUV RI 1·V 2·V 3·V 4·V D·V MQG 6·VB
Renaming Imported Functions
import random for k in range(1000000): i = random.randint(1,6) print i from random import randint as randi for k in range(1000000): i = randi(1,6) print i Handy when the names are long or when you just want to name things your way.Random Simulation
We can use randint to simulate genuinely
random events, e.g.,Flip a coin one million times and record the
number of heads and tails.1/22/2016
2Coin Toss
from random import randint as randiN = 1000000
Heads = 0
Tails = 0
for k in range(N): i = randi(1,2) if i==1:Heads = Heads+1
else:Tails = Tails+1
print N, Heads, Tails7OH ´ŃRXQPµ YMULMNOHV Heads
and Tails are initialized randi returns 1 or 2FRQYHQPLRQ ´1µ LV OHMGV
FRQYHQPLRQ ´2µ LV PMLOV
A Handy Short Cut
Incrementing a variable is such a common
calculation that Python supports a shortcut.These are equivalent:
x += 1 x = x+1 x += c is equivalent to x = x+cCoin Toss
from random import randint as randiN = 1000000
Heads = 0
Tails = 0
for k in range(N): i = randi(1,2) if i==1:Heads+=1
else:Tails+=1
print N, Heads, Tails7OH ´ŃRXQPµ YMULMNOHV Heads
and Tails are initialized randi returns 1 or 2FRQYHQPLRQ ´1µ LV OHMGV
FRQYHQPLRQ ´2µ LV PMLOV
Sample Outputs
N = 1000000
Heads = 500636
Tails = 499364
N = 1000000
Heads = 499354
Tails = 500646
Different runs produce
different results.This is consistent with
what would happen if we physically tossed a coin one million times.Estimating Probabilities
You roll a dice. What is the probability
POMP POH RXPŃRPH LV ´Dµ"
Of course, we know the answer is 1/6. But
OHP·V ´GLVŃRYHUµ POLV POURXJO VLPXOMPLRQBDice Roll
from random import randint as randiN = 6000000
count = 0 for k in range(N): i = randi(1,6) if i==5: count+=1 prob = float(count)/float(N) print probN is the number of
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i is the outcome of an experiment prob is the probability the outcome is 51/22/2016
3Dice Roll
from random import randint as randiN = 6000000
count = 0 for k in range(N): i = randi(1,6) if i==5: count+=1 prob = float(count)/float(N) print probOutput:
.166837Discovery Through Simulation
Roll three dice.
What is the probability that the three
outcomes are all different ?If you know a little math, you can do this
RLPORXP POH ŃRPSXPHUB IHP·V MVVXPH POMP
RH GRQ·P NQRR POMP PMPOB
Solution
N = 1000000
count = 0 for k in range(1,N+1): d1 = randi(1,6) d2 = randi(1,6) d3 = randi(1,6) if d1!=d2 and d2!=d3 and d3!=d1: count +=1 if k%100000==0: print k,float(count)/float(k) Prints snapshots of the probability estimates every 100,000 trialsNote the
3 calls to
randiSample Output
k count/k100000 0.554080
200000 0.555125
300000 0.555443
400000 0.555512
500000 0.555882
600000 0.555750
700000 0.555901
800000 0.556142
900000 0.555841
1000000 0.555521
Note how we
VM\ ´VMPSOH
RXPSXPµ NHŃMXVH
if the script is run again, then we will get different results.Educated guess:
true prob = 5/9Generating Random Floats
Problem:
Randomly pick a float in the interval
[0,1000].What is the probability that it is in
[100,500]?Answer = (500-100)/(1000-0) = .4
Generating Random Floats
The actual probability that x is equal to a or b is basically 0.If a and b are initialized floats with a < b
then x = random.uniform(a,b) assigns to x M ´UMQGRPµ IORMP POMP VMPLVILHV a <= x <= b1/22/2016
4The Uniform Distribution
Picture:
The probability that
L <= random.uniform(a,b) <= R
is true is (R-L) / (b-a) a R L bIllustrate the Uniform Distribution
from random import uniform as randuN = 1000000
a = 0; b = 1000; L = 100; R = 500 count = 0 for k in range(N): x = randu(a,b) if L<=x<=R: count+=1 prob = float(count)/float(N) fraction = float(R-L)/float(b-a) print prob,fraction Pick a float in the interval [0,1000]. What is the prob that it is in [100,500]?Sample Output
Estimated probability: 0.399928
(R-L)/(b-a) : 0.400000Estimating Pi Using
random.uniform(a,b) Idea:Set up a game whose outcome tells us
something about pi.This problem solving strategy is called
Monte Carlo. It is widely used in certain
areas of science and engineering.The Game
Throw darts at the
2x2 cyan square that
is centered at (0,0).If the dart lands in
the radius-1 disk, thenŃRXQP POMP MV M µOLPµB
3 Facts About the Game
1. Area of square = 4
2. Area of disk is pi
since the radius is 1.3. Ratio of hits to throws
should approximate pi/4 and so 4OLPVCPOURRV ´ ´ SL
1/22/2016
5Example
1000 throws
776 hits
Pi = 4*776/1000
= 3.104When Do We Have a Hit?
The boundary of the disk is given by
x**2 + y**2 = 1If (x,y) is the coordinate of the dart throw,
then it is inside the disk if x**2+y**2 <= 1 is True.Solution
from random import uniform as randuN = 1000000
Hits = 0
for throws in range(N): x = randu(-1,1) y = randu(-1,1) if x**2 + y**2 <= 1 : # Inside the unit circleHits += 1
piEst = 4*float(Hits)/float(N)Note the
2 calls to
randuRepeatability of Experiments
In science, whenever you make a discovery
through experimentation, you must provide enough details for others to repeat the experiment.JH OMYH ´GLVŃRYHUHGµ SL POURXJO UMQGRP
simulation. How can others repeat our computation? random.seedWhat we have been calling random numbers are
actually pseudo-random numbers.They pass rigorous statistical tests so that
we can use them as if they are truly random.But they are generated by a program and are
anything but random.The seed function can be used to reset the
algorithmic process that generates the pseudo random numbers.Repeatable Solution
from random import uniform as randu from random import seedN = 1000000; Hits = 0
seed(0) for throws in range(N): x = randu(-1,1); y = randu(-1,1) if x**2 + y**2 <= 1 :Hits += 1
piEst = 4*float(Hits)/float(N)Now we will
get the same answer every time1/22/2016
6Another Example
Produce this
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design.Think: I toss post-its
of different colors and sizes onto a table.Solution Framework
Repeat:
1. Position a square randomly in the
figure window.2. Choose its side length randomly.
3. Determine its tilt randomly
4. Color it cyan, magenta, or, yellow
randomly.Getting Started
from random import uniform as randu from random import randint as randi from SimpleGraphics import * n = 10MakeWindow(n,bgcolor=BLACK)
for k in range(400): # Draw a random colored square passShowWindow()
Note the
3 calls to
randi ´SMVVµ LV M QHŃHVVMU\ SOMŃH OROGHUB JLPORXP LP POLV VŃULSP RLOO QRP UXQPositioning the square
x = randu(-n,n) y = randu(-n,n)The figure window is built from
MakeWindow(n).
A particular square with random center
(x,y) will be located using randu :The Size s of the square
s = randu(0,n/3.0)IHP·V PMNH POH VTXMUHV QR NLJJHU POMQ
n/3 on a side.The tilt of the square
t = randi(0,45)Pick an integer from 0 to 45 and
rotate the square that many degrees.1/22/2016
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