If you were asked to choose between a sure ($ 10,000), or an (80 %) chance of
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If you were asked to choose between a sure \(\$ 10,000\), or an \(80 \%\) chance of winning \(\$ 15,000\) and a \(20 \%\) chance of winning nothing, which would you take?
Game A:
\[E=\$ 10,000(1)=\$ 10,000\]
This is a sure thing.
Game B:
\[E=\$ 15,000(0.8)+\$ 0(0.2)=\$ 12,000\]
True or false? The better choice, according to expected value, is to take the \(80 \%\) chance of winning \(\$ 15,000\). Explain.
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