SOLUTION: At the end of a training program, learner’s have to pass an exam to obtain their learner’s license. The probability of passing the exam at the first attempt is 0:75. Those who fai

Algebra ->  Probability-and-statistics -> SOLUTION: At the end of a training program, learner’s have to pass an exam to obtain their learner’s license. The probability of passing the exam at the first attempt is 0:75. Those who fai      Log On


   



Question 1075715: At the end of a training program, learner’s have to pass an exam to obtain their learner’s license.
The probability of passing the exam at the first attempt is 0:75. Those who fail may write again.
The probability of passing the second attempt is 0:6. No further attempts are allowed.
What is the probability that a learner failed to obtain a license?

Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
Passing the exam at the first attempt, the probability is 0.75. Assuming all who fail the first time (.25) try again, we get .6 x 0.25=.15. So, 0.75+0.15, or .90 of the people who try eventually succeed--leaving 0.1, or 10% of all learners fail to obtain a license. ☺☺☺☺