Question

Applicants for a start-up position are assessed in two tests - a theoretical test and a programming test (each candidate is tested in both tests). 65% successfully pass the theoretical test. Only 10% pass the theoretical test (and do not pass the test in the program). 30% fail in both tests.
What percentage of all job applicants successfully pass at most one test?
A. 0.15
B. 0.85
C. 0.45
D. 0.55

?

Answer 1

Consider,
A - passed in theoretical
B -Passed in programming test
Given that,

P(A) =0.65

We have to find P( passed in at most one) or 1 - P(Passed in both)

P( passed in at most one)=
Since,

So, P( passed in at most one)= 1-0.55=0.45

So, correct answer is 0.45