Monday, January 4, 2010

Losing at Dice

When six dice are rolled, the number of different numbers which can appear range from 1 to 6. Suppose that once every minute the 6 dice are rolled and you bet $1, at even odds, that the number of different numbers to appear will be exactly 4.

If you start with $10, roughly how long will it be on average before you are wiped out?

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2 Comments:

Anonymous Euclid's Brother said...

My computer simulation is still running after 63,000 rolls and the money is still slowly increasing (about 440). Seems that 4 different numbers will appear slightly better that 50% of the time, so you won't run out of money.

#Rolls..Money.Dice..........Diff
63141 - 445 - 4,5,2,4,2,1 = 4
63142 - 444 - 5,3,3,6,3,3 = 3
63143 - 443 - 2,6,6,4,6,6 = 3
63144 - 442 - 2,6,1,4,3,2 = 5

January 5, 2010 8:17 AM  
Anonymous Zaux said...

Nice work EB ... the probability of winning is 50.154321%

January 5, 2010 8:25 AM  

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