People's Education Press Senior One Mathematics: In repeated experiments, the frequency of events gradually approaches the probability.
The data of "5% airlines bought tickets and didn't show up" comes from years of repeated experiments and can be regarded as the probability of events. Therefore, it can be considered that for everyone, the probability of not appearing after buying a ticket is 5%, that is, the probability of everyone who bought a ticket is 95%.
P (all seats available) = 1-P (insufficient seats)
P (insufficient seats) = P (5 1 person coming) +P (52 people coming)
P (5 1 people come) = C (5 1 52) × (0.95 5 1 )× 0.05.
In the above formula, c (5 1, 52) and the combination number 52 is 5 1, that is, the number of passengers of 5 1 is selected from all 52 passengers.
P (52 people came) = C (52 52,52) * 0.9552.
So the probability p (everyone has a seat) = 1-[P (5 1 people coming) +P (52 people coming)] = 74.05%.