In: Statistics and Probability
Suppose a friend of yours is hosting a wine tasting. His wine supply includes three different types of deluxe wine. All bottles come from the same winery and all wines were harvested in 2017. He currently owns 7 bottles of chardonnay, 9 bottles of shiraz, and 13 bottles of champagne. Throughout the wine tasting, your friend will only open a new bottle of wine when there are no other bottles of wine open at the time.
1. Create a tree diagram of the sample space and label all events and their corresponding probabilities.
2. What is the probability that all bottles in the wine tasting are of the same type of wine?