Optimal Stopping With Three Good Chips and Three Bad

An urn holds 6 tokens: 3 green tokens each worth +$1+\$1 and 3 orange tokens each worth −$1-\$1. You draw tokens one at a time without replacement, banking each token's value as you go, and you may quit whenever you like (including before the first draw). Playing optimally, what is your expected profit?

Answer

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