In: Statistics and Probability
Suppose a pizzeria called Sticky Dough gets an order for 5 pizzas to be delivered to some VIP. This customer has an evil reputation for being extremely picky and there is only a 60% chance that he’ll accept any particular pizza. Because this is an important gig for Sticky Dough, they decide to send extra pizzas in case some are rejected. What is the minimum number of pizzas that will have to be sent to be 95% sure that at least 5 will be accepted?