p = { {\tbinom{10}{1}} {\tbinom{14}{11}} }/{ {\tbinom{24}{12}} } = \tfrac{10!~14!~12!~12!}{1!~9!~11!~3!~24!} \approx 0.001346076 .
For example, suppose we knew probabilities P, Q, p, q with P + Q = p + q = 1 such that (male studier, male non-studier, female studier, female non-studier) had respective probabilities (Pp, Pq, Qp, Qq) for each individual encountered under our sampling procedure.