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# G2

last edited by 14 years, 1 month 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

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

it could also be seen as  so

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 where 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   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..)

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

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