def problem1():
p=allRolls()
print("\nProblem 1:\n")
for name in categories:
outcomes=calculateOutcomes(Rules[name][0],p)
a=AnalyzeRandomVariable(Rules[name][2],outcomes)
print("\n{}:".format(name))
a.prnt()
def problem3(N=(0,1,2,3,4,5,6,7,8,9)):
#expected value and variance of chance score in n rerolls.
p=allRolls()
print("\nProblem 3: Chance in n rerolls\n")
for n in N:
outcomes=calculateOutcomes(Rules["chance"][0],p,n)
a=AnalyzeRandomVariable(Rules["chance"][1],outcomes)
print("\n{} rerolls:".format(n))
a.prnt()
def problem5c(category="aces",rerolls=2,times=10000):
p=allRolls()
print("\nProblem 5c: Expected Value and Variance in score of {}\n".format(category))
outcomes=calculateOutcomes(Rules[category][0],p,rerolls)
a=AnalyzeRandomVariable(Rules[category][1],outcomes)
print("\nAnalytic:")
a.prnt()
randomOutcomes=calculateOutcomesRandom(Rules[category][0],rerolls,times)
randomA=AnalyzeRandomVariable(Rules[category][1],randomOutcomes)
print("\nRandom:")
randomA.prnt()
print("\nVariance of Mean: {}".format(a.variance/times))
def problem5b(times=10000):
p=allRolls()
randomOutcomes=calculateOutcomesRandom(Rules["chance"][0],rerolls=0,times=times)
outcomes=calculateOutcomes(Rules["chance"][0],p,0)
a=AnalyzeRandomVariable(Rules["chance"][1],outcomes)
randomA=AnalyzeRandomVariable(Rules["chance"][1],randomOutcomes)
print("\nProblem 5b:\n")
print("\nAnalytic:")
a.prnt()
print("\nRandom:")
randomA.prnt()
print("\nVariance of Mean: {}".format(a.variance/times))
def problem4(category="aces",rerolls=2):
p=allRolls()
print("\nProblem 4: Expected Value and Variance in score of {}\n".format(category))
outcomes=calculateOutcomes(Rules[category][0],p,rerolls)
a=AnalyzeRandomVariable(Rules[category][1],outcomes)
a.prnt()
