The initial money Ghosh Babu had (before the beginning of the game sessions) was Rs. X. At no point did he have to borrow any money. The minimum possible value of X is___

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Solution

$\begin{matrix} G a m e & O p e n i n g & P l a y e r^{'} s p i c k & D e a l e r^{'} s p i c k & C l o s i n g b a l a n c e & b a l a n c e D e b i t & C r e d i t & D e b i t & C r e d i t (-) & (+) & (-) & (+) 1 & 0 & 0 & 8 & 16 & 0 & - 8 2 & - 8 & 0 & 10 & 0 & 10 & 12 3 & 12 & 0 & 6 & 6 & 0 & 12 4 & 12 & 0 & 8 & 16 & 0 & 4 \end{matrix}$

Since the maximum negative that Ghosh Babu goes into is -8, he should begin with at least Rs. 8, so that he does not have to borrow any money at any point.

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