A queue of 50 people is waiting at a box office in order to buy a ticket. The tickets cost five euros each. For any person, there is a probability of ½ that she/he will pay with a five-euro note and a probability of ½ that she/he will pay with a ten-euro note. When the box opens there is no money in the till. If each person just buys one ticket, what is the probability that none of them will have to wait for change? Use computer simulation.