(New page: For the second part you pick a car after your friend picks a goat. FRIEND P[Car] = 1/3 P[Goat]=2/3 YOU P[Car]=1/2 P[Goat]=1...)
 
 
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For the second part you pick a car after your friend picks a goat.
 
For the second part you pick a car after your friend picks a goat.
  
            FRIEND
+
              FRIEND
  
P[Car] = 1/3        P[Goat]=2/3
+
  P[Car] = 1/3        P[Goat]=2/3
  
                        YOU
+
                        YOU
  
            P[Car]=1/2    P[Goat]=1/2
+
              P[Car]=1/2    P[Goat]=1/2
  
 
Use this as a binary transmission system, so P[Car|Friend chooses Goat] = (2/3)(1/2) = 1/3
 
Use this as a binary transmission system, so P[Car|Friend chooses Goat] = (2/3)(1/2) = 1/3

Latest revision as of 15:49, 16 September 2008

For the second part you pick a car after your friend picks a goat.

              FRIEND
 P[Car] = 1/3        P[Goat]=2/3
                        YOU
             P[Car]=1/2     P[Goat]=1/2

Use this as a binary transmission system, so P[Car|Friend chooses Goat] = (2/3)(1/2) = 1/3

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Basic linear algebra uncovers and clarifies very important geometry and algebra.

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