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Quant版 - Ask an interview question on probability
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1 (共1页)
j******0
发帖数: 162
1
Game question,
You will have 3 dices.
Throw the first dice, and you can decide to get paid with the point( 1, 2, 3
, 4, 5 or 6, whichever it comes out to be) and walk away.
Or if you are not happy with the first one, throw the second dice, and
the new result is your payout, or still not happy, throw the 3rd dice and you get paid upon the result of the 3rd throw.
Now, what is the optimal strategy for you obtain maximum potential payout?
= = = = =
My answer is the optimal strategy is for the firs
I***e
发帖数: 1136
2
Traditional DP problem. You have an expected optimal payoff as a function of
the number of dice you have. So if you have 15, I'm sure the decision is to
stop only when seeing a 6.

3
if
throw.
5or6

【在 j******0 的大作中提到】
: Game question,
: You will have 3 dices.
: Throw the first dice, and you can decide to get paid with the point( 1, 2, 3
: , 4, 5 or 6, whichever it comes out to be) and walk away.
: Or if you are not happy with the first one, throw the second dice, and
: the new result is your payout, or still not happy, throw the 3rd dice and you get paid upon the result of the 3rd throw.
: Now, what is the optimal strategy for you obtain maximum potential payout?
: = = = = =
: My answer is the optimal strategy is for the firs

s******r
发帖数: 350
3
Read the book "Heard on the Street" for detailed explanations.
1 (共1页)
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