Agrobacterium tumefaciens is a bacteria that infects a plant by transferring its own DNA (called transfer− DNA, or tDNA) into the plant genome. This natural mechanism is used as a tool for inserting any given DNA fragment into a plant genome. The insertion location is at random and approximately uniform along the genome. An institute is carrying out insertion−mutagenesis by tDNA on the plant Arabidopsis extensively. They repeated the experiment 100 thousand times and got 100 thousand mutant Arabidopsis plants. The Arabidopsis genome is about 120 million base−pair long. A researcher is studying a given gene (called G) of Arabidopsis and would like to get from the institute a few plants having an insertion in gene G. This gene is 6000 base pair long.
QUESTION:
What is the probability that the institute can provide the researcher with 2 or more plants?
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