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Chapter 1: Problem 5

Design two programs for choosing truly random numbers on your computer, one which accepts randomness input by a user and one which does not.

Short Answer

Expert verified
Create two programs using Python's random module. One accepting a seed from the user's input to generate random numbers, and the second generating random numbers without the user's input, preferably using the current time as the seed. For validation, upon repeated iterations all possible outputs should occur an approximately equal number of times.

Step by step solution

01

Program accepting user randomness input

Use a language that allows getting input from users and inherents a random number generator like Python. Here the user-inputted randomness can be a seed for instance. In Python you can use the random library. Set the randomness seed with random.seed(user_inputted_value). Generate a random number with random.randint(lower_limit, upper_limit).
02

Program not accepting user randomness

Also you can use the Python random library for generating random numbers. But this time, don't use a seed or get the seed from another source like the current time. This way the randomness does not come from user's input. The random numbers can again be generated using random.randint(lower_limit, upper_limit).
03

Validate the output

After generating the numbers in both the programs, it is important to validate that the results are indeed random. This can be achieved by checking for uniform distribution of generated numbers over a large enough set. For example, if the range of generated numbers is from 1 to 6 like in a die, each of these numbers should appear roughly the same number of times when rolling the die a large number of times.

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