Find the required probability for binomial distribution.
Marketing: Coffee Tasting The Tasty Bean Coffee Company claims that its coffee is so good that you can distinguish it from any other coffee. Five different brands of coffee (one of them Tasty Bean) are set before tasters who are to pick the one that tastes the best. Suppose that there is really no difference in the way any of these coffees taste; however, each of four tasters picks one coffee anyway (not knowing which is which, because the coffee is in identical cups). What is the likelihood that
1) All four tasters choose Tasty Bean?
2) None of them chooses Tasty Bean?
3) At least three choose Tasty Bean?