An airline has overbooked a flight If there are 50 passenger

An airline has overbooked a flight. If there are 50 passengers, in how many ways can they choose 2 to bump to another flight? If you and a friend are booked for this flight, what is the probability that you will both be bumped?

Solution

a)
No. ways can they choose 2 to bump to another flight = 50 C 2 = 50*49/ 2 * 1 = 1225 Ways
b)
P( Me & friend are booked is bumbped) = 2 C 2 = 2 ways