Question

Use common sense to determine whether the given event is impossible; possible, but very unlikely; or possible and likely.

At least two people have the same birthday in a school of 150 students.

Possible, but very unlikely

Impossible

Possible and likely

Answer 1

Possible, but very unlikely

Explanation:

In a school of 150 students, the probability that at least two people have the same birthday is possible but very unlikely.

In a year, we have 365 total possible birthdays. If one student was born on 1st of January say, then the second student has 364 possible birth-dates assuming that they have different birthdays. This implies there is a higher probability that the second student has a different birthday.

Moreover, considering the school has only 150 students which is less than the total possible birth-days in a year, 365, the chances of two or more students sharing a birthday is possible but would be very unlikely.