Laura has decided to offer a meeting at her house as herbirthday. For this, it has prepared several quantities of 3 typesof cocktails: tom collins, cubalibre, mojito
The dynamics that Laura uses for her guests to choose the drinks isto pack the cocktails in dark glasses so that their selection iscompletely random. Furthermore, it has been established that theselection must be independent of the previous one.
The probability of choosing each of the cocktails is given by asurvey that Laura made to 30 of her friends, the answers to whichare presented below:
1. 4 people showed liking for the 3 types
2. 8 people like both tom collins and cubalibre
3. 11 like both tom collins and mojito
4. 2 people like only the mojito
5. 4 people like only the tom collins
6. 3 people like only the cubalibre
Assume that each of the surveyed friends showed a taste for oneor more cocktails.
If the first 3 cocktails were selected there was one of the tomcollins, find the probability that the eighth cocktail selected isthe fourth of the cocktail tom collins?