Probability Games
Walter J Mahoney MTH 157 1/20/2013 Andrea Hayes

Probability is a fascinating math concept. It can be applied in many aspects of our students’ daily lives. As the world of technology continues to grow, teaching of many math concepts can be done in the classroom and reinforced by math learning websites. The coin flip and roll dice games that we looked at are a nice tool to show our students the concept of probability in visual form.

The coin flip game showed the probability of two results either heads or tails. It is less complex because it only has two possible results, the probability of a heads or tails coming up when flipped is 50% or one out of two chance. In the game, you control the number of flips of the coin and the results are noted and percentage is giving to you. In my results of 20 single flips, the results were 50% heads and 50% tails. But when I used the auto flip button for another 20,000 flips, the results were 50.11% heads and 49.89% tails. There was a historical button which shows historical data with results of 50% heads and 50% tails. It is a nice visual tool to explain the results of the probability concept.

The dice roll game showed the probability with many more results. It is more complex. It can give the results for one die, which are six possible results, two dice, which are 11 possible results, and three dice, which are 16 possible results. When you are rolling one die, you have a 16.67% or a 1 in 6 chance for each number to come out. When you add die to the dice roll game the results of your rolls are weighted according to the number of possible results that the dice could give. For example in order to roll a two with two dice, there is a 2.78% or 1 in 36...

...Probable Probability;
Rolling Dice
Statistics is based upon based upon common sense and logic, in a complex data. Probability is just one of the many topics in statistical mathematics. It is used in our daily life, all over the world. Even games, require taking a chance and using probability to determine the predicted outcomes.
Probability is the measure of how often a particular event will happen if something is done repeatedly, (596 Webster’s Dictionary). You cannot determine any events that will happen in the future, because there is always a chance that something odd will happen, (Linn 39-40).
Probability originally started for the purpose and attempt to analyze games of chance. Probability is also used in determining the outcomes of an experiment. Sample space is the collection of all results. Probability is a way to assign every event a value between zero and one.
What is the probability of rolling a pair of dice, or a deck of cards, or a jar of marbles? What is the probability of conceiving a boy or a girl? Many more are determined by the usage of the probability method.
Probability is used to represent the likelihood that odds of winning a random drawing chance of rolling a seven when rolling two dice.
When rolling a...

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TITILE : THEORY OF PROBABILITY
NAME : KYRIOS JOYCE ERDAYA RAJOO
IC NO : 930603-10-5700
CLASS : 5 MULIA
TEACHER : MRS.MALLIKA
a) History of Probability
The scientific study of probability is a modern development. Gambling shows that there has been an interest in quantifying the ideas of probability for millennia, but exact mathematical descriptions of use in those problems only arose much later.
According to Richard Jeffrey, "Before the middle of the seventeenth century, the term 'probable' (Latin probabilis) meant approvable, and was applied in that sense, univocally, to opinion and to action. A probable action or opinion was one such as sensible people would undertake or hold, in the circumstances. However, in legal contexts especially, 'probable' could also apply to propositions for which there was good evidence.
Aside from some elementary considerations made by Girolamo Cardano in the 16th century, the doctrine of probabilities dates to the correspondence of Pierre de Fermat and Blaise Pascal (1654). Christiaan Huygens (1657) gave the earliest known scientific treatment of the subject. Jakob Bernoulli's Ars Conjectandi (posthumous, 1713) and Abraham de Moivre's Doctrine of Chances (1718) treated the subject as a branch of...

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ANALYSIS
Physics has a lot of topics to cover. In the previous experiments, we discussed Forces, Kinematics, and Motions. In this experiment, the focus is all about Friction. Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other. There are several types of friction like fluid friction which describes the friction between layers of a viscous fluid that are moving relative to each other; dry friction which resists relative lateral motion of two solid surfaces in contact and is subdivided into static friction between non-moving surfaces, and kinetic friction between moving surfaces; lubricated friction which is a case of fluid friction where a fluid separates two solid surfaces; skin friction which is a component of drag, the force resisting the motion of a fluid across the surface of a body; internal friction is the force resisting motion between the elements making up a solid material while it undergoes deformation and sliding friction.
When surfaces in contact move relative to each other, the friction between the two surfaces converts kinetic energy into heat. This property can have dramatic consequences, as illustrated by the use of friction created by rubbing pieces of wood together to start a fire. Kinetic energy is converted to heat whenever motion with friction occurs, for example when a viscous fluid is stirred. Another important consequence of many types of friction can be wear,...

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The case between Beauty and Stylish involves concept of a valid contract, pre-contractual statements, express term and misrepresentation.
A valid contract is established between Beauty and Stylish when an offer is accepted and there is intention for both parties to create legal relations. An offer refers to the expression of willingness of the offerer to be contractually bound by an agreement if his or her offer is properly accepted. It has to be clear and certain in terms. It must also be communicated to the offeree before it is being accepted. In addition, the acceptance has to be unqualified, unconditional and made by a positive act. In the case of Beauty and Stylish, a positive act refers to the signing of the contract. All terms of the offer must be accepted without any changes and cannot be subjected to any condition, taking effect only upon fulfillment of that condition. When Beauty and Stylish enter into the agreement, they must intend to bind and bound legally to each other by their agreement. This is the intention to create legal relations between two parties. In the meanwhile, this contract must possess consideration. A contract must therefore be a two-sided affair, with each side providing or promising to provide something of value in exchange for what the other is to provide.
Every contract, whether oral or written, contain terms. The terms of a contract set out the rights and duties of the parties. Terms are the promises and undertakings given by each...

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The Dice Game
Math HL Portfolio Type 2
THE DICE GAME
Introduction-
In the real world events cannot be predicted with total certainty. The best way in which we can do this is by saying that how likely is an event to happen, using the idea of probability.
Probability is the branch of mathematics, which studies the possible outcomes of given events together with the outcomes it also studies the' relative likelihoods and distributions. In Lehman terms, the word "probability” means 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%.
Considering a game with two players, Ann and Bob. Ann has a red die and Bob a white die. They roll their dice and note the number on the upper face. Ann wins if her score is higher than Bob’s and Bob wins if the scores are the same.
This can be summarized as follows:
Number of Ann is greater than the number of Bob = Ann wins
Number of Ann is less than equal to number of Bob = Bob wins
Now considering the probabilities if both players roll their dice once each. To find the probabilities of both plays we can use a probability tree diagram, which is shown below:
The...

... Homework #4 - SQL
Use the following (denormalized) database schema (and the attached tables) to write the queries.
Publishers (custid, name, city, phone, creditcode)
Bookjobs (jobid, custid, jobdate, descr, jobtype)
POS (jobid, poid, podate, vendorid)
Items (itemid, descr, onhand, price)
Po_Items (jobid, poid, itemid, quantity)
For each question, turn in the Oracle SQL query and the output. You should feel free to do these by hand (paper and pencil), or you may actually run them. I have created the tables and granted everyone in the class access to them. I would urge you to FIRST write them on paper, and THEN run them – just to be sure you understand them. You will not have access to Oracle SQL during the final exam. These take time, so please start early.
I have granted you all access to query the tables in my account. You can access them by typing suebrown., so to access the publishers table, type suebrown.publishers. As a second alternative, you can use the scripts in blackboard to create the tables in your own oracle space. It is your choice how you want to do this – just make sure that if you create the tables in your own directory that you do not change the data.
[6 pts] 1. How many different jobs are listed in the POS table?
[8 pts] 2. How many publishers fall into each of the three credit codes?
[10 pts] 3. List the jobid, podate, custid, and name for any jobs with purchase orders dated (podate) since February 1, 2006....

...Chapter 11
Four Decades of the Defence of
Australia: Reflections on Australian
Defence Policy over the Past 40 Years
Hugh White
The serious academic study of Australian defence policy can be said to have
begun with the publication of a book by the SDSC’s founder, Tom Millar, in
1965. The dust jacket of that book, Australia’s Defence, posed the following
question: ‘Can Australia Defend Itself?’ Millar thus placed the defence of Australia
at the centre of his (and the SDSC’s) work from the outset. Much of the SDSC’s
effort over the intervening 40 years, and I would venture to say most of what
has been of value in that effort, has been directed toward questions about the
defence of the continent. This has also been the case for most of the work by
Australian defence policymakers over the same period. In this chapter I want
to reflect on that work by exploring how the idea of the ‘defence of Australia’
has evolved over that time, and especially how its role in policy has changed,
from the mid-1960s up to and including the most recent comprehensive statement
of defence policy, Defence 2000: Our Future Defence Force.
This is no dry academic question. The key question for Australian defence
policy today is how we balance priority for the defence of Australia against
priority for the defence of wider strategic interests. The starting point for that
debate is the policies of the 1970s and 1980s, which placed major emphasis on
the defence of the continent....

...Yr 10
Mathematics
Assignment
LCR Maths
By Adonis Chigeza
Understanding and Fluency Tasks
Task A
1. y = 1.2𝑥 + 2.57
2. Interpolation: y = -3.43
Extrapolation: y = -8.23
Task B
a) The equation for the path of the ball is h = -0.1t^2 + 0.9t + 1 (h = height, t = time)
b) The vertical height of the ball after 2. seconds2.664m
c) The maximum height reached by the ball is 3.025m
d) The time of with the ball is at maximum height of 3.025 is 4.5 seconds
e) The total time in which the ball was in the air is 10 seconds
f) The two times in which the ball was 1 metre above ground is 0 and 9
Adonis Chigeza 10C
LCR Mathematics
Problem Solving and Reasoning Task
1.
Equation: y = -1.2𝒙2 + 8.4𝒙
a. The bridge is 7 metres wides so therefore it will successfully span the river with 2
metres to spare.
b. If a yacht has a 15 metre mask it will be unable to pass safely under the bridge
because the bridge only has a vertical height 14.7 metres.
Adonis Chigeza 10C
LCR Mathematics
2. Equation: v= -0.2h2 + 2.4h
a. The horizontal distance covered by the rocket when it reached its maximum
height of 7.2 metres was 6 metres.
b. The maximum height reached by the rocket was 7.2 metres.
c. At the horizontal distance of 9 metres from the launch site, there is a 5.2 metre
wall and at that vertical distance, the rocket has a vertical distance 5.4 metre.
That is not taking to account the dimensions of the rocket, however the rocket
cannot have...