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- June 15, 2020

# Maths 336 Laboratory 7

MATHS 336 LABORATORY 7 1

Maths336 Laboratory 7

MATHS336 LABORATORY 7

No.The outcomes for the 500 tosses and 500 rolls of a dice, are notclose to the theoretical results. There is a great variance betweenthe theory and the actual outcome.

Inthe 500 rolls of dice, there was a theoretical expected result thatwas 16.7% of the rolls for any particular possibility. In none ofthese, was there a single outcome in which the theoretically expectedoutcome ever come close to the outcome of the simulation of the rollof the dice. For two of those possibilities, they experienced agreater number of rolls for their sides of the same number of dicerolls than the expected. The rest fell short of the expected numberof rolls per side with varying degrees of variance. The variance oneither side of the expected was no more than 15%. With the 500tosses, there were more heads tosses than there were tails. The headswere more by 6% with the tails less by corresponding 6%. There were60 more heads than there were tails after the 500 tosses.

Fromthe above results we have evidence of expected theory not turning outthe way it was expected to. The reason behind this is probability.The Probability Theory is a branch of mathematics that is concernedwith analysing random phenomena. The objects at the core ofprobability theory are events that may evolve over a period of timerandomly or measured experiments under careful watch producingresults not in cognisance with the expected theoretical results.Probability may manifest itself through a slight twist of the diecasters hand, a tilted or bumpy surface on which the die is cast.

AshRobert B. (2012) *BasicProbability Theory. *NewYork: MacMillan Publishers.