1

IIT-JEE 2004

Subjective

+2

-0

$$A$$ and $$B$$ are two independent events. $$C$$ is even in which exactly one of $$A$$ or $$B$$ occurs. Prove that $$P\left( C \right) \ge P\left( {A \cup B} \right)P\left( {\overline A \cap \overline B } \right)$$

2

IIT-JEE 2004

Subjective

+4

-0

A box contains $$12$$ red and $$6$$ white balls. Balls are drawn from the box one at a time without replacement. If in $$6$$ draws there are at least $$4$$ white balls, find the probability that exactly one white is drawn in the next two draws. (binomial coefficients can be left as such)

3

IIT-JEE 2003

Subjective

+2

-0

$$A$$ is targeting to $$B, B$$ and $$C$$ are targeting to $$A.$$ Probability of hitting the target by $$A,B$$ and $$C$$ are $${2 \over 3},{1 \over 2}$$ and $${1 \over 3}$$ respectively. If $$A$$ is hit then find the probability that $$B$$ hits the target and $$C$$ does not.

4

IIT-JEE 2003

Subjective

+2

-0

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 $${p \over 2}$$ otherwise it remains the same. Find the probability that he will qualify.Questions Asked from Probability (Subjective)

Number in Brackets after Paper Indicates No. of Questions

IIT-JEE 2005 (1)
IIT-JEE 2004 (2)
IIT-JEE 2003 (2)
IIT-JEE 2002 (1)
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IIT-JEE 2000 (1)
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IIT-JEE 1985 (1)
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IIT-JEE 1983 (2)
IIT-JEE 1982 (1)
IIT-JEE 1981 (1)
IIT-JEE 1979 (1)
IIT-JEE 1978 (1)

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