Question: A batch contains 36 bacteria cells. Assume that 12 of the cells are not capable of cellular replication. Of the cells, 6 are selected at

A batch contains 36 bacteria cells. Assume that 12 of the cells are not capable of cellular replication. Of the cells, 6 are selected at random, without replacement, to be checked for replication.

(a) What is the probability that all 6 of the selected cells are able to replicate?

(b) What is the probability that at least 1 of the selected cells is not capable of replication?

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