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AIMO 2021 Secondary 1 — Preliminary (Open Trial 1) Question 9

AIMO · AIMO 2021 Secondary 1 — Preliminary (Open Trial 1)

Question 9

A team of 5 students is selected from 5 boys and 6 girls. What is the probability that it contains 2 boys and 3 girls?

Original printed choices: A: $\frac15$; B: $\frac{25}{77}$; C: $\frac6{25}$; D: $\frac{20}{77}$.

Editorial response format: give the exact answer; the original choices are retained for reference.

Convention: Assume every five-student team is equally likely. Give the exact probability.