Hi everybody, just a heads up there is a pretest tomorrow so be prepared.
Any who today in class we learned two new topics. These topics are called Mutually exclusive and Non Mutually exclusive events. The way something can be mutually exclusive is if it is impossible for them to occur together. Basically like saying you can't be the age 31 and at the same time be 16, there is just no way. Or like saying can you roll a die and get both a positive and negative number at the same time.
Examples
Drawing one card either, a black ace or a red two
When randomly selecting two animals from a barn either a, cat or dog
Randomly selecting a person either a, girl or a boy
Now non mutually exclusive events are the exact opposites when things can happen together, like either drawing from a deck of cards a king or a spade. You can actually draw a king of spades.
Examples
Selecting a person for your basketball team who is either, fast or tall
Sleeping with either a, long pillow or comfy pillow
Rolling a two dice and either getting a sum of an odd number or a double
Although you may just think of this as the exact opposite to mutually exclusive events there is more thinking involved. Mutually exclusive event formula is (A) n (B) = zero set, done. For non mutually exclusive events there is a big formula you have to follow.
Using Mr.K's example I will explain
You wish to draw either a king or a spade from a single deck
A represents kings
B represents spades
Now remember one card is both keep this in mind
So the formula looks like this P ( A U B ) = P(A) + P(B)  P(AnB)
Plug in the numbers and you it looks like
P ( A U B ) = 4/52 + 13/52  1/52
= 1/16
WHOA, why did we subtract the 1/52 people may ask, reason being because the card gets counted so we want to subtracted it so that it doesn't get counted twice.
So that is what we learned in class what I recommend doing is try to make up your own mutually and non mutually exclusive events and practise further with the formula. Now the next scribe I choose is IRIS......
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Tuesday, March 17, 2009
Posted by henson at 11:19 PM
Labels: Henson, Probability, Scribe Post
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1 comments:
Yo Henson, Daniel here. Quick note...
You can't have an odd double, because a double is two of the same. Two evens makes an even, two odds also make an even. To illustrate this, I have a series of examples below.
1+1=2 odd+odd=even
2+2=4 even+even=even
5+5=10 odd+odd=even
4+4=8 even+even=even
Do you get what I'm trying to say? An odd and a double are mutually exclusive.
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