Ten molecules start inside a cell. They are first observed outside the cell in the given second.

Question:

Ten molecules start inside a cell. They are first observed outside the cell in the given second.
Molecule Time First Observed Outside
1 ...................................... 11
2 ...................................... 1
3 ...................................... 2
4 ...................................... 3
5 ...................................... 1
6 ...................................... 2
7 ...................................... 4
8 ...................................... 7
9 ...................................... 1
10 ...................................... 4
From the above set of data, estimate the probability that a molecule that is inside a cell leaves during a given second. Write a discrete-time dynamical system for the probability that the molecule is inside and find the probability it is inside after 3 seconds. How does this probability compare with the fraction of molecules that actually were inside at t = 3?