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Computer ScienceQ&A LibraryWrite a python program:Let the user specify S (the number of sides on a die) and N(the number of tosses of two S -sided dice).Assume ((S << N) and (3 <= S <= 20)). Since each die side is labeled with a unique integer taken from the range[ 1,S ], the sum of each dice toss is in the range [ (2=1+1),(2*S=S+S) ]. For example, whenS = 6 , then the sum of each dice toss is in the range [ 2,12 ]. MakeN dice tosses and count how frequently each sum occurs. Output ahorizontal histogram that depicts the frequency distribution of the sums of theN dice tosses. Every sum in the range [ 2,2*S ] and its frequency of occurrence should be output using the formatXXX (XXXXXXXX) | ******whereXXXis the sum,(XXXXXXXX)is the frequency, and each'*'represents 1% of the 100% of frequencydistribution. The number of '*' output for each sum is computed by rounding the quotient (counts[sum]/N) up to the nearest integer. The entire histogram will contain (2*S-2+1) lines2 (XXXXXXXX) | ******3 (XXXXXXXX) | ******. . .. . .2*S (XXXXXXXX) | ******Question

Asked Mar 2, 2020

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Write a python program:

Let the user specify S (the number of sides on a die) and N

(the number of tosses of two S -sided dice).

Assume ((S << N) and (3 <= S <= 20)). Since each die side is labeled with a unique integer taken from the range

[ 1,S ], the sum of each dice toss is in the range [ (2=1+1),(2*S=S+S) ]

. For example, when

S = 6 , then the sum of each dice toss is in the range [ 2,12 ]. Make

N dice tosses and count how frequently each sum occurs. Output a

horizontal histogram that depicts the frequency distribution of the sums of the

N dice tosses. Every sum in the range [ 2,2*S ] and its frequency of occurrence should be output using the format

XXX (XXXXXXXX) | ******

where

XXX

is the sum,

(XXXXXXXX)

is the frequency, and each

'*'

represents 1% of the 100% of frequency

distribution. The number of '*' output for each sum is computed by rounding the quotient (counts[sum]/N) up to the nearest integer. The entire histogram will contain (2*S-2+1) lines

2 (XXXXXXXX) | ******

3 (XXXXXXXX) | ******

. . .

. . .

2*S (XXXXXXXX) | ******

1 Rating

Program Instructions:

- Import the random library and prompt the user for the values of N and S.
- Use a for loop for N times to generate random numbers between 2 to 2*S and store them in a list.
- Use a for loop and dictionary to count the frequency of each number/sum.
- Use a for loop and sorted() function to print the dictionary values in sorted manner.
- Use round() function to round the quotient up to the nearest integer.
- The value of sum is multiplied by 100 before diving it with N to increase the number otherwise the result of round() function will be 0.

Program:

# import random to generate random numbers

import random

# prompt user for S

S = int(input('Enter the value of S (the number of sides on a die): '))

# prompt user for N

N = int(input('Enter the value of N (the number of tosses of two S-sided dice): '))

dice_sum = []

# generate sums in range 2 to 2*S for N tosses

for i in range(N):

dice_sum.append(random.randint(2,2*S))

freq = {}

# use a dictinory to calculate the count of each number

for items in dice_sum:

freq[items] = dice_sum.count(it...

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