gilgames wrote: > Here is the dice-machine > > http://lzkiss.netfirms.com/cgi-bin/igperl/igp.pl?dir=test&name=dicemachine > > > The price for one dice is > > sum(p[i]*i) / n > > (where n is the number of elements in the table), and it is linear for > the number of dices > > > << > **** Gambling Dice Machine probability **** > > A gambling machine: > > A possiblity table of the possiblity of each side of a dice, from 1 to 6: > __________________________________________ > |side | 1, 2, 3, 4, 5, 6 | > ------------------------------------------ > |possiblity | 0.1, 0.2, 0.2,0.15,0.2,0.15 | (total possiblity of one) > __________________________________________ > > There are four dices on the screen. > __ __ __ __ > |__| |__| |__| |__| > > Each prize draw will roll the dices to show 4 random numbers based on > the probability provided in the table. > > The award prize is the "sum" of all the numbers appeared in the 4 slots. > E.g. 3351 will have a prize of 3+3+5+1=12. So the prize is in the range > of 4 to 24. > > Q1: What is the "average" prize for this gambling machine? > > > Q2: Generalize the question: n numbers, w_1, w_2, w_3 .... w_n, and > their corresponding possiblities: p_1, p_2, p_3 .... p_n. With > replacement, 4 boxes, each box filled with one number, what is the > average sum of these four numbers? > > >> > Oh, this is really cool! It is surpising to know that there is really such a program in the world that dose this!
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