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Answer: 0.88
Step-by-step explanation:
Let C is the event of drinking coffee, T is the event of drinking tea and M is the event of drinking milk.
Thus, when we make the Venn diagram of the given situation according to the given information,
Total number of people = 50
Number of people who like coffee, tea and milk = 19
Number of people who like coffee, tea but not milk = 16
Number of people who like coffee, milk but not tea = 2
Number of people who like tea, milk but not coffee = 5
Thus, the number of people who like tea only = Total people - (people who like coffee, tea but not milk + people who like coffee, tea and milk + the one who only like tea and milk but not coffee)
= 50 - ( 16 + 19 + 5) = 50 - 46 = 4
Thus, Total number of the person who like milk = 16 + 19 + 5 + 4 = 44
⇒ Probability that this person likes tea = =
38.4/2=19.2
around 19 days