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Our glossary for Pennant Fever.

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Area diagram

by jonah vorspan-stein - Wednesday, October 10, 2007, 10:31 AM
An Area diagram is a means of visually displaying area's in relation to each other. An area diagram is a two dementional dipiction of area's using length and height as its axi's. The conventional area diagram is done in a rectangle, and shows area's relative size (or amount of space something takes up). Area diagram's are useful when one is trying to determine percentages, or if one is simply a visual learner and is in need of some sort of visual aid in their learning process.


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Combinatorial Coefficient

by Hannah Sears - Wednesday, October 10, 2007, 10:34 AM
A combinatorial coefficient is the whole number value for an expression in the form of nCr. For example, 5C3 represents the combinatorial coefficient 56. In real life, this would mean there are 56 ways to make combinations in groups three things out of a total of five different things (i.e. five ice cream flavors, three scoops per bowl).
Combinatorial coefficients are also the coefficients in the expanded version of an expression in the form of (a+b)n. So if your expression was (a+b)5, the coefficients for each variable group (ex: a4b) would be determined by the expressions 5C0, 5C1, 5C2, and so on up until 5C5 (or nCn, in a more general sense).
Combinatorial coefficients can also be called "binomial coefficients."


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Expected Value

by Martin Kessler - Wednesday, October 10, 2007, 10:35 AM

Expected Value is the amount that is expected to be gained per attempt. It is calculated by multiplying the probability of a favorable outcome by the amount gained with a favorable outcome. For example if it is a .4 chance of gaining $100 the expected value would be $40. (.4X100=40).


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List Method

by Mikko Harvey - Wednesday, September 12, 2007, 10:41 PM

The list method is a tool that can be used for finding probability. One lists out all the possible outcomes, finds how many of them are favorable, and then divides that number by the amount of total outcomes. This operation gives the probability. For example: When flipping two coins, with only a combination of two heads being favorable, one can make a list. TT, HH, TH, HT. One of the four combinations is favorable. 1 divided by 4 equals 1/4, or 25%, and that is the probability of flipping two heads in a row.


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by Ryan Prothro - Tuesday, October 2, 2007, 10:11 PM

A NODE is the point on a tree diagram where one possibility for the problem starts and marks where the next new combinations begin. For example if I where making a tree diagram to calculate the probability of the red sox winning all their games, I would put a node after each branch (which would represent a game) to show that there was a new game and another factor that I would need to multiply by to get the probability.


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by Peter Ryan - Wednesday, October 10, 2007, 10:36 AM
Permutation is the arranging of objects, or pieces of data, or numbers...or anything really, into a sequence where the order of that sequence matters. For example, with a permuation, "1 2 3 4 5 6" is not the same as "6 5 4 3 2 1". They are different permutations of the same sequence.

Example 2:
If you flip a coin 2 times, you can get these for combinations:
However, because with permutations, order matters so here are actually the total possibilities:

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by Mikko Harvey - Wednesday, September 12, 2007, 10:42 PM

The number of favorable outcomes divided by the number of total outcomes is the probability. For example: When flipping a coin, with heads being favorable, the probability is 1/2, with 1 being the amount of favorable outcomes (heads) and 2 being the amount of total outcomes (heads+tails).


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Tree Diagram

by Peter Sullivan - Wednesday, October 10, 2007, 10:37 AM
A tree diagram is a tool used to show probability. Each branch represents a possible outcome. More branches then come off of each of the first branches to represent occurrences that come later. Each branch is labeled with the probability of that outcome occurring. Thus, one can trace a path down the branches, multipling the probabilities along the way in order to find the end probability of each final outcome, or leaf.