During an online lecture, held for Engineering and Systems Analysis (ADS) courses, the speaker requested the participation of listeners, of whom, after questioning, only one of them stood up to answer her. Considering that in the auditorium there were 35 ADS students, 40 Engineering students and 15 of them were taking both courses, what is the probability that the student who responded to the speaker was from the ADS course?

The total number of students present in the auditorium can be calculated as: Total students = A + E - AE Substituting the given values: Total students = 35 + 40 - 15 Total students = 60 Now, the probability that the student who responded to the speaker was from the ADS course can be calculated as: Probability = Number of ADS students / Total students Substituting the values: Probability = 35 / 60 Probability = 7/12 Therefore, the probability that the student who responded to the speaker was from the ADS course is 7/12.