From past experience, it is known that the number of tickets purchased by a student standing in line at the ticket window for the football match of OZU against KU follows a normal distribution that has mean µ = 2.4 and standard deviation σ = 2.0. Suppose that few hours before the start of one of these matches there are 100 eager students standing in line to purchase tickets. If only 250 tickets remain, what is the probability that all 100 students will be able to purchase the tickets they desire?