Thus, the probability that the significant instrument is selected is:

February 22, 2026

Thus, the probability that the significant instrument is selected is:

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inom{10}{4} = 210
To count favorable outcomes (the significant instrument is selected), we fix one of the 4 spots to be occupied by the significant instrument, and choose the remaining 3 from the remaining 9:
inom{9}{3} = 84
rac{84}{210} = rac{2}{5}
Therefore, the probability is $ oxed{rac{2}{5}} $.
Question: A linguist analyzing word evolution models a simplified language where each word is a sequence of 8 characters, each chosen independently from the set $\{a, b, c\}$. What is the probability that a randomly generated word contains exactly 3 $a$âs, 2 $b$âs, and 3 $c$âs?

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