m********i 发帖数: 298 | 1 Say you have 100 coins:
each time you throw a coin,64% chance you get +, 36% chance you get -;
each - worths -30.00$
each + worths 25.00$
You can throw N coins for 100 times. But each time you throw, they will have the same side.
How do you plan to throw coins in sequence to get the max possible $ after
100 times?
e.g. 1 coins, 2 coins, 3 coins?
or 100 coins, 100 coins, 100 coins?
What if, You have initially 100$. If your money < 0$, you are out?
What if:each -'s value has a stdev of 60 and aver | i***0 发帖数: 55 | | k****z 发帖数: 550 | 3 In the first case (fixed value), each toss gives average of 25*0.64-30*0.36=
$5.2
the number N is just the multiple factor for a certain round. To maximize,
you should fix N=100.
So strategy is 100, 100, 100, ... | i***0 发帖数: 55 | 4 kao
haha
你仔细想了吗?
36=
【在 k****z 的大作中提到】![](/moin_static193/solenoid/img/up.png) : In the first case (fixed value), each toss gives average of 25*0.64-30*0.36= : $5.2 : the number N is just the multiple factor for a certain round. To maximize, : you should fix N=100. : So strategy is 100, 100, 100, ...
| f****e 发帖数: 590 | 5 max possible $?
have the same side.
【在 m********i 的大作中提到】![](/moin_static193/solenoid/img/up.png) : Say you have 100 coins: : each time you throw a coin,64% chance you get +, 36% chance you get -; : each - worths -30.00$ : each + worths 25.00$ : You can throw N coins for 100 times. But each time you throw, they will have the same side. : How do you plan to throw coins in sequence to get the max possible $ after : 100 times? : e.g. 1 coins, 2 coins, 3 coins? : or 100 coins, 100 coins, 100 coins? : What if, You have initially 100$. If your money < 0$, you are out?
| m********g 发帖数: 46 | 6 I don't understand" But each time you throw, they will have the same side.".
If they have the same side, why should we throw 100 times? | k****z 发帖数: 550 | 7 要么是题目没有说清楚
说每次投出来的硬币same side,这个无法理解
我只能理解为投的还是一枚硬币,但是可以投注N倍
每次投之间又是独立的,那还能是怎样?
你倒说说看怎么做?
【在 i***0 的大作中提到】![](/moin_static193/solenoid/img/up.png) : kao : haha : 你仔细想了吗? : : 36=
| n*w 发帖数: 41 | 8 如果这么理解的话,应该maximize每次的N,so N=100.
不过资产为负可不可以,以及initial fund 会影响答案。
【在 k****z 的大作中提到】![](/moin_static193/solenoid/img/up.png) : 要么是题目没有说清楚 : 说每次投出来的硬币same side,这个无法理解 : 我只能理解为投的还是一枚硬币,但是可以投注N倍 : 每次投之间又是独立的,那还能是怎样? : 你倒说说看怎么做?
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