60 students appear for examination. Out of which 1/15 th were failed and total percent of students who got more than 90% were 0.125% .then if 1 student randomly choose find the probability of getting that students to be passed
1/15th failed, so 14/15 passed
To find the probability of randomly choosing a student who passed the exam, we first need to find the number of students who passed the exam.
Given that 1/15th of the students failed, we can find the number of failed students by multiplying the total number of students (60) by the fraction of students who failed (1/15):
Failed = (1/15) * 60 = 4
Now, let's find the number of students who got more than 90% on the exam. The percentage of students who got more than 90% is given as 0.125%. To find the actual number of students, we need to convert the percentage to a decimal by dividing it by 100 and then multiply by the total number of students:
Students with more than 90% = (0.125/100) * 60 = 0.075
Since we know the number of failed students and the number of students who scored above 90%, we can find the number of students who passed by subtracting these two from the total number of students:
Passed = Total students - Failed - Students with more than 90%
Passed = 60 - 4 - 0.075 = 55.925
Now, to find the probability of randomly choosing a student who passed, we divide the number of passed students by the total number of students:
Probability of a student passing = Passed / Total students
Probability of a student passing = 55.925 / 60 = 0.9321
Therefore, the probability of randomly choosing a student who passed the exam is approximately 0.9321.