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A cell has five molecules of a rare mRNA. Each cell contains 4 × 105 mRNA molecules. How many clones one will need to screen to have 99% probability of finding at least one recombinant cDNA of the rare mRNA, after making cDNA library from such cell?
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- 4.50 × 105
- 3.50 × 105
- 4.20 × 105
- 4.05 × 105
Correct Option: B
Number of clones which have 99% probability = log10 (1– 0.99) / log10 (1– 5 / 4 * 105) = log10 (0.01) / log10 (0.9999875)
= (– 4.605) / (–1.25) * 10–5 = 3.5 * 10–5
