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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