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So 1/3 of the time you get 1,
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1/3 of the time you get nothing,
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and 1/3 of the time you get V.
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Is that right?
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So your payoff is (1+V)/3.
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How would we do if we're scratch against scratch?
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The payoff of scratch against scratch is what?
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No prizes for this, what's the payoff of scratch against scratch?
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1.
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Which is bigger,
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(1+V)/3 or 1?
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Well look, V is less than 2