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What if q is something between q=0 and q=0? say q=1/2.
Expected Outcome=p(1/2*2+1/2*-3)+(1-p)(1/2*-3+1/2*4)
Expected Outcome=1/2-p
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What if q is something else? say q=3/4.
Expected Outcome=p(3/4*2+1/4*-3)+(1-p)(3/4*-3+1/4*4)
Expected Outcome=2p-5/4
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What if q is something between q=0 and q=0? say q=1/2.
Expected Outcome=p(1/2*2+1/2*-3)+(1-p)(1/2*-3+1/2*4)
Expected Outcome=1/2-p
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What if q is something else? say q=3/4.
Expected Outcome=p(3/4*2+1/4*-3)+(1-p)(3/4*-3+1/4*4)
Expected Outcome=2p-5/4
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At This Point it Doesn't matter what q is.
This is the best I can do, if q is playing optimally.
What if q is something else? say q=3/4.
Expected Outcome=p(3/4*2+1/4*-3)+(1-p)(3/4*-3+1/4*4)
Expected Outcome=2p-5/4
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