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In Escherichia coli, a bacterium often found in the human digestive tract, 1 cell in every 109 will mutate from streptomycin sensitivity to streptomycin resistance. This mutation can cause the individual involved to become resistant to the antibiotic streptomycin. In observing 2 billion (2 X 109) such cells, what is the probability that none will mutate? What is the probability that at least one will mutate?

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