Suppose a friend of yours is hosting a wine tasting. His winesupply includes three different types of deluxe wine. All bottlescome from the same winery and all wines were harvested in 2017. Hecurrently owns 8 bottles of zinfandel, 10 bottles of merlot, and 12bottles of cabernet. Throughout the wine tasting, your friend willonly open a new bottle of wine when there are no other bottles ofwine open at the time.
a. State any and all event definitions.
b. Suppose the wine tasting will consist of two bottles chosenat random. How many different sequences of offerings are there?
c. Create a tree diagram of the sample space and label allevents and their corresponding probabilities.
d. What is the probability that all bottles in the wine tastingare of the same type of wine?
