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\[ \frac{63}{455} \]
Simplifying the fraction:
\[ \frac{63}{455} = \frac{9}{65} \]
\[\boxed{\frac{9}{65}}\]
A developmental biologist is studying the probability of selecting specific gene markers in zebrafish. There are 4 categories of gene markers: A, B, C, and D. If the biologist randomly selects 4 markers such that 2 are from category A, 1 from B, and 1 from C, and there are 6 markers in each category, what is the probability of this selection?
To solve this problem, we need to determine the probability of selecting exactly 2 markers from category A, 1 from B, and 1 from C.
Calculate the number of ways to choose 2 markers from category A (6 available):
\[ \binom{6}{2} = \frac{6 \times 5}{2 \times 1} = 15 \]
Calculate the number of ways to choose 1 marker from category B (6 available):
\[ \binom{6}{1} = 6 \]
