after first Roll no of Expected No of Dices will be 2.5
1/2(0)+1/6(4+5+6)
so after second 2.5^2
so after N rounds 2.5^N

On Mon, Jun 20, 2011 at 3:56 PM, Navneet Gupta <[email protected]>wrote:

> We have an unlimited number of dice at our disposal. Let's roll the
> die. If the outcome is 1, 2, or 3, we stop; otherwise, if it is 4, 5,
> or 6, a corresponding number of dice are rolled. For example, if the
> first roll gives 5, then we roll 5 dice, and so on. This procedure
> continues for every rolled dice whose outcome is 4, 5, or 6. Let N
> denote the N-th round of rolls. What is the total expected value at
> the end of the N-th round of rolls?
>
> Navneet
>
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-- 
Sunny Aggrawal
B-Tech IV year,CSI
Indian Institute Of Technology,Roorkee

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