THE DICE GAME - calculating probabilities

Authors Avatar

INTRODUCTION

In the real world events can not be predicted with total certainty. The best we can do is say how likely they are to happen, using the idea of probability.

Probability is the branch of mathematics that studies the possible outcomes of given events together with the outcomes' relative likelihoods and distributions. In common usage, the word "probability" is used to mean the chance that a particular event (or set of events) will occur expressed on a linear scale from 0 (impossibility) to 1 (certainty), also expressed as a percentage between 0 and 100%. The analysis of events governed by probability is called statistics.

Statistics is the study of the collection, organization, analysis, and interpretation of data. It deals with all aspects of this, including the planning of data collection in terms of the design of surveys and experiments.

SHORT EXPLANATION: Each *point* is considered as a separate task. Task 3 $ 4 are resolved into one place because both are closely linked.

Join now!

TASK 1

--------------------------------------

Explanation:

Note that Ann wins if her die is higher than Bob's die, Bob wins in the event of a tie, and neither wins if Bob's dice is higher than Ann's - we should clearly see that Ann's probability of winning should be higher than Bobs's and the probability of NONE Wins should be also higher than the probability of Bob's win, while probablity of Ann's Win and NONE Wins should be the same. Therefore, the solution...

(The bold combinations are cases in which Ann wins.)

Solution:

A = case where Ann ...

This is a preview of the whole essay