A survey is conducted of students enrolled during both the Winter 2013 and Winter 2014 semesters. 12% of students got the flu during Winter 2013. 18% of students came got the flu during Winter 2014. 5% of students got the flu during both years. What is the probability that a randomly selected survey participant didnt?

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Answer:

The probability that a randomly selected survey participant didn't got the flew = 0.75

Step-by-step explanation:

Students got the flu during Winter 2013 = 12 %

Students got the flu during Winter 2014 = 18 %

Students got the flu during both years = 5 %

Students got the flu at least in one year = 12 + 18 - 5 = 25 %

Students didn't got the flew = 100 - 25 = 75 %

⇒ The probability that a randomly selected survey participant didn't got the flew =  [tex]\frac{75}{100}[/tex]

⇒ 0.75

This is the probability that a randomly selected survey participant didn't got the flew.

 

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