Questions / Quant trading, Expected value & odds

Price a bag of payoffs

Foundation, about 6 minutes. Question T002.

A bag contains payoffs of 2, 4, 8, and 10 points. One is chosen uniformly. What is the fair expected payout?

Answer it in the app It's free. You get hints, a second try if you miss, and a follow-up question.

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Answer: 6 points

  1. The average is (2 + 4 + 8 + 10) / 4 = 6.

Interview shortcut. Pair the ends: 2 + 10 and 4 + 8 both average 6.

In the app this has a follow-up where one thing about the setup changes. Try the follow-up.

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