Sunday, February 19, 2012

Working with Conditional Probability!

Hello everyoneee,
I hope you all have a fun and safe Mardi Gras!
Coach Matt is leaving us now.. those how ever many weeks he was with us went by veryyy fast.. but before he left, one of the many things he taught us was Conditional Probability!
P.S. He was an awesome teacher!
By the way, I hope yall are having fun BRob! I have heard that Jacob is doing great, congrats.
See you whenever you get back!

There weren't very many notes for this section, so this is all I have:

' means does not
"and" means multiply

Example 1:
Find each probability.
X=0.4
Y=0.3
Y'=0.7
X'=0.6
Y=0.5
Y'=0.5
P(X')=.6
P(Y'/X)=.4x.7=.28/4=.7
PY'/X')=.5x.6=.3/.6=.5
P(XandY)=.4x.3=.12
P(X'andY')=.6x.5=.3
P(Y)=.42
P(X/Y)=.4x.3/.42=.286
P(X'/Y)=.6x.5/.42=.714

Example 2:
Find each probability.
R=0.7
J=0.3
K=0.2
L=0.5
S=0.3
J=0.5
K=0.4
L=0.1
P(S)=.3
P(L/R)=.5X.7/.7=.5
P(L/S)=.1X.3/.3=.1
P(JandR)=.3X.7=.21
P(JandS)=.5X.3=.15
P(J)=.21+.15=.36
P(R/J)=.21/.36=.583
P(S/J)=.15/.36=.417

P.S.= we are working with tree diagrams, but I couldn't draw them, so the bolded letters and numbers are what should be on the tree diagrams.

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