A batch contains 40 bacteria cells. Assume that 12 of the cells
are not capable of cellular replication. Six cells are selected at
random, without replacement, to be checked for replication. Round
your answers to four decimal places (e.g. 98.7654).
(a) What is the probability that all six cells of the selected
cells are able to replicate?
(b) What is the probability that at least one of the selected
cells is not capable of replication?