Problem: the membership of a committee consists of 3 english teachers , 4 mathematics teachers , and 3 social studies teachers . if 2 committee members are to be selected at random to write the committee ’ s report , what is the probability that the two members selected will both be english teachers ?
Rationale: "probability of first member an english teacher = 3 / 10 probability of second member an english teacher = 2 / 10 probability of both being english teacher = 3 / 9 x 2 / 8 = 3 / 5 ( d )"
annotated_formula: multiply(divide(3, add(add(3, 4), 3)), divide(3, subtract(add(add(3, 4), 3), const_1)))