a group of 155 seniors at a local university were asked if they took an economics class and if they had an internship.the following table shows the results.economics class no economics class totalinternship 30 68 98no internship 16 41 57total 46 109 155according to the table, what is the probability that a randomly chosen senior does not have an internship given that they took an economics class? give your answer as a fraction in simplest form

Respuesta :

The probability that a randomly chosen senior among 155 seniors at a local university does not have an internship provided they took an economics class is 8/23 (the answer is given in the simplest fraction form)

No of students who do not have an internship in economics class = 16

Total no. of students in economics class = 46

P(A|B) = probability of occurrence of A given B has already occurred ( conditional probability)

The probability that a randomly chosen senior does not have an internship given that they took an economics class

= P (Does not have internship | Economics class )

= P(Does not have internship in economics class) / P ( Takes economics class )

=16 / 46

= 8 / 23

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