jee-advanced 2003 Q6

jee-advanced · India · mains Probability Definitions Probability Using Set/Event Algebra

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

The slopes of the focal chords of the parabola $y ^ { 2 } = 16 x$ which are tangents to the circle $( x - 6 ) ^ { 2 } + y ^ { 2 } = 2$ are

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

Paper Questions

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