- #1

macca1994

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A single-celled organism contains N particles, some of which are of type A, the others of

type B . The cell is said to be in state i where 0<=i<=N if it contains exactly i particles

of type A. Daughter cells are formed by cell division, but rst each particle replicates itself;

the daughter cell inherits N particles chosen at random from the 2i particles of type A

and 2N-2i of type B in the parent cell.

Find the absorption probabilities and expected times to absorption for the case N = 3.

I so far have that the absorbing states are i=0, i=3 but have no idea where to go from there