Question

38% of students taking exam P will pass the exam. 5% of students are taking exam P having used ADAPT. 79% of the students using ADAPT pass the exam. What is the probability of passing the exam if a student does not use ADAPT

Answer 1

the probability of passing the exam if a student does not use ADAPT is 0.3584

Explanation:

Given the data in the question;

Probability a student will pass = 38% = 0.38

Probability a student have used ADAPT = 5% = 0.05

P(passed | used ADAPT) = 79% = 0.79

Now lets use table

Used ADAPT Not use ADAPT Total

Passed [0.05×0.79] = 0.0395 [0.38 - 0.0395] = 0.3405 0.38

Not Passed [0.05-0.0395] = 0.0105 [0.62 - 0.0105] = 0.6095 0.62

Total 0.05 0.95

Now, the probability of passing the exam if a student does not use ADAPT will be;

⇒ P(passed and Not used ADAPT) / P( did not use ADAPT)

⇒ 0.3405 / 0.95

⇒ 0.3584

Therefore, the probability of passing the exam if a student does not use ADAPT is 0.3584