Q:

In a class of 7, there are 5 students who forgot their lunch. If the teacher chooses 2 students, what is the probability that neither of them forgot their lunch?

Accepted Solution

A:
Answer: t's going to be 1/21 becuase We can think about this problem as the probability of 22 events happening.The first event is the teacher choosing one student who remembered his lunch. The second event is the teacher choosing another student who remembered his lunch, given that the teacher already chose someone who remembered his lunch .Hint #22 / 6The probabilty that the teacher will choose someone who remembered his lunch is the number of students who remembered their lunch divided by the total number of students: 2772​ Β .Hint #33 / 6Once the teacher's chosen one student, there are only 66 left.Hint #44 / 6There's also one fewer student who remembered his lunch, since the teacher isn't going to pick the same student twice.Hint #55 / 6So, the probability that the teacher picks a second student who also remembered his lunch is1661​ Β .