A hotel has a capacity of 100 rooms. To reduce losses due to cancellations, reservations are accepted in excess of its total capacity. In the past, the motel has found that 20% of prospective guests will cancel their reservation at the last minute.

If the hotel accepts 120 reservations, what is the probability that all the guests who claim a room will receive one (ie: number of guests that show up will not exceed total capacity)

If the hotel accepts 120 reservations, what is the probability that all the guests who claim a room will receive one (ie: number of guests that show up will not exceed total capacity)

where success=cancellation

and 20% of 120 reservations will cancel, so that is 0.2*120=24

So number of reservations is 120-24=96 with no cancellation is 96

after that I am stuck