Tossing a die and conditional expectation
April 22nd, 2012 at 5:43:32 AM
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Need advice to solve a problem.
Toss a die x times
E is the # of even numbers shows up
S is the #of 3's.
How can I find Expected E given S or Expected S given E?
Any help is much more appreciated.
Best regards.
Toss a die x times
E is the # of even numbers shows up
S is the #of 3's.
How can I find Expected E given S or Expected S given E?
Any help is much more appreciated.
Best regards.
April 22nd, 2012 at 6:26:45 AM
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Ex(E)=(3/5)*(x-S) = 60% of non-3 rolls.
Ex(S)=(1/3)*(x-E) = 1/3 number of odd roles.
Ex(S)=(1/3)*(x-E) = 1/3 number of odd roles.
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
