Home / To find the probability that a specific species is among the 4 selected, fix one species to be included and choose the remaining 3 from the other 14 species.

To find the probability that a specific species is among the 4 selected, fix one species to be included and choose the remaining 3 from the other 14 species.

February 22, 2026

Final probability is:
\boxed{0.268}
Question: An entomologist is tracking 15 species of pollinating insects in a controlled ecosystem. If she randomly selects 4 species for a detailed genetic analysis, what is the probability that a specific rare species is included in the selection?
Total number of ways to choose 4 species from 15:
Number of favorable outcomes (choosing the specific species and 3 from the other 14):
\binom{14}{3}