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At McCool's bar there is a stock of 17 beer bottles in the cooler with label. The barkeep checked the bottles last week and noted most contained beer...
At McCool's bar there is a stock of 17 beer bottles in the cooler with label. The barkeep checked the bottles last week and noted most contained beer and only 5 contained IPA (Indian Pale Ale). However, since he checked the labels have fallen off. There is no way to determine what each bottle contains until one opens and drinks the content. Patrick is the only person who frequents the bar and likes both regular beer and IPA, so he is the only guest brave enough to drink from the unlabeled bottles. He drinks the content of one bottle, but is thirsty so then takes another. Explain answers.
1. What are the possible events for Patrick's drink consumption?
2. What is the probability that Patrick's will have IPA in his second bottle?
3. What is the probability that he failed to pick IPA on his first attempt, if he failed to pick IPA on his second attempt?