Question

Before an important football match, security at each entrance gate of the stadium is checking fans bag in order to see whether any of them is carrying an unauthorised banners and flags. At gate A the queue consists of 215 people and 30 of them are carrying unauthorised items. Due to time constraints, security personnel can only check the bags of 46 randomly chosen fans out of the total 215. let x be the number of the 46 selected fans who are found to have unauthorised flags and banners with them.

what is the probability that X assumes a value between 5 and 10? (correct to 3 decimal places. rounded down)

Answer 1