A chemical solution contains 10 molecules of type A and 15 molecules of type B. An irreversible reaction occurs between type A and B molecules in which they bond to form a new compound AB. Suppose that any particular unbonded A molecule will react with any particular unbonded B molecule with rate 0.2 molecules per minute. Assume that the number of bonded A molecules at any given time is a birth and death process. Find the probability that starting with 5 bonded molecules there would be 8 bonded molecules after 10 minutes.