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?
