- #1

chwala

Gold Member

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- Homework Statement
- See attached

- Relevant Equations
- Probability -Expectation and variance

This is the problem;

My thinking on this is based on Von Neumann Strategy i.e

##e=pf+(1-p)((f+e)## where ##e##= Expected value, ##p##= Probability and ##f## = number of tosses ...in our case ##f=1##

##e=\frac{f}{p}=\frac{1}{p}## This is clear (as indicated on the left hand side of the ms -attached below).

The part that i need clarity is on the Variance derivation i.e on the right hand side of the ms solution.

I know that Variance=npq, with n=1 and q=1-p this part is clear...but i do not seem to get the highlighted part.

My thinking on this is based on Von Neumann Strategy i.e

##e=pf+(1-p)((f+e)## where ##e##= Expected value, ##p##= Probability and ##f## = number of tosses ...in our case ##f=1##

##e=\frac{f}{p}=\frac{1}{p}## This is clear (as indicated on the left hand side of the ms -attached below).

The part that i need clarity is on the Variance derivation i.e on the right hand side of the ms solution.

I know that Variance=npq, with n=1 and q=1-p this part is clear...but i do not seem to get the highlighted part.

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