QJEEAdv03Mab214: JEE Advanced 2003 Mathematics - Class 12 JEEAdv03Mab214 Solution: For a student to qualify, he must pass at least two out of…

For a student to qualify, he must pass at least two out of three exams. The probability that he will pass the 1^st exam is $$p.$$ If he fails in one of the exams then the probability of his passing in the next exam is $$\frac{p}{2}$$ otherwise it remains the same. Find the probability that he will qualify.