A test of proficiency can be taken up to 3 times by each of the large group of people. No one who passes takes the test again.60% of those attempting the test for the first time pass, as do 75% of those attempting it for the second time, and 30% of those attempting it for the third time. i. Find the probability that a randomly chosen person fails at the first attempt but passes at either the second or third attempt ii. Write down the probability that person passes the test (2marks) iii. Given that a person passed the test, find the probability that exactly two attempts were required.​