1. (1 pt) Assume that the random number generatorrandint(m,n)isuniformly distributed. This means that the probability of generating any number between m and n is the same.

Suppose that Alice simulates the roll of a pair of dice by defining the roll function below, calling it twice and adding the results:

def roll(): return randint(1,6) 

Bob realizes that the roll of a pair of dice results in a sum of 2 through 12, inclusive, so he simulates the roll of a pair of dice by defining the roll function below, calling it only once:

def roll(): return randint(2,12) 

Are these equivalent in terms of their behavior over time as we generate roll after roll? Why or why not?

2.(2 points)

Consider the following code written for a simple game of Dungeons & Dragons. In this game, the player rolls one 20-sided die 20 times. Each time, if the value thrown is 20, we have a critical hit and keep track of it by adding 1 to critHitTotal. Similarly, if the value thrown is 1, we have a critical miss and keep track of it by adding 1 to critMissTotal

There is a logical error in the program for this game below. Explain what is wrong and show how to correct it.

from random import randint def roll(): return randint(1,20) def game(): critHitTotal = 0 critMissTotal = 0 for i in range(20): if roll() == 20: critHitTotal += 1 elif roll() == 1: critMissTotal += 1 return (critHitTotal, critMissTotal)