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G2

Page history last edited by PBworks 13 years, 5 months ago

Outcome: G2 demonstrate an understanding that determining probability requires the quantifying of outcomes

 

Originator(s):  Daniel & Alex & Kyle

 

Explanation:

(!= multiplies every number before it ie. 4! = 4*3*2*!)

The Quantifing of outcomes is the process of finding all possable ways an event can happen.

 

The probability of an event is  Formula

 

 there are events where order matters and doesn't matter as well as when u can have the same event more then once.

 

for a event where an event can happen more then once and order doesn't matter

ex: Pick any 3 numbers from 1 to 10. 

you would use the fundamental counting principal and multiply the number of things you are choosing by itslef the ammount of times you have to choose one 

in the example it would be Formula

it could also be seen as Formula so Formula

 

for a event where an event can't happen more then once and order doesn't matter

ex: 3 people are choisen to go to a conference.

you would use Formulawhere n is the number of things your choosing from and r is the number u have to choose.

 

for a event where an event can't happen more then once and order does matter

ex: A race where the 1st get gold 2nd silver and 3rd bronze.

you would use  Formula where n is the number of things your choosing from and r is the number u have to choose.

 

you could use a tree diagram but with larger cases this method become time consuming.

 

Sample Question:

 

What is the Probability of winning the grand prize (1st) in the 6/49 lotto (all six numbers not including bonus or tag or extra ect..)

 

Answer: 

 

In this case you can not repeat the same number twice and order does not matter (Combination)

 

Formula 

 

Formula

 

Formula

 

The probability of wining the lotto 6/49 grand prize is Formula

Comments (1)

Anonymous said

at 7:28 pm on Jun 14, 2007

Nice work guys... you've got a bunch of spelling errors still in here but the content is well presented.

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