The list of 16 topics was given to students to prepare for
exam. 16 students prepared themselves for all 16 topics, 6 students prepared
for 10 topics, and 3 students prepared only for 6 topics each. The �rst
invited student was prepared for 2 topics contained in the ticket. What was
a probability that it was one of the students prepared for all 16 topics?
To find the probability that the first invited student was one of the students prepared for all 16 topics, we need to calculate the number of students who prepared for all 16 topics and divide it by the total number of students.
Given information:
- 16 students prepared for all 16 topics.
- 6 students prepared for 10 topics.
- 3 students prepared for 6 topics each.
Total number of students = 16 + 6 + 3 = 25
Number of students who prepared for all 16 topics = 16
Therefore, the probability that the first invited student was one of the students prepared for all 16 topics is:
Probability = Number of students prepared for all 16 topics / Total number of students
Probability = 16 / 25
Hence, the probability is 16/25.