1

IIT-JEE 1993

Subjective

+5

-0

Numbers are selected at random, one at a time, from the two- digit numbers $$00, 01, 02 ......, 99$$ with replacement. An event $$E$$ occurs if only if the product of the two digits of a selected number is $$18$$. If four numbers are selected, find probability that the event $$E$$ occurs at least $$3$$ times.

2

IIT-JEE 1992

Subjective

+6

-0

A lot contains $$50$$ defective and $$50$$ non defective bulbs. Two bulbs are drawn at random, one at a time, with replacement. The events $$A, B, C$$ are defined as

$$A=$$ (the first bulbs is defective)

$$B=$$ (the second bulbs is non-defective)

$$C=$$ (the two bulbs are both defective or both non defective)

Determine whether

(i) $$\,\,\,\,\,$$ $$A, B, C$$ are pairwise independent

(ii)$$\,\,\,\,\,$$ $$A, B, C$$ are independent

$$A=$$ (the first bulbs is defective)

$$B=$$ (the second bulbs is non-defective)

$$C=$$ (the two bulbs are both defective or both non defective)

Determine whether

(i) $$\,\,\,\,\,$$ $$A, B, C$$ are pairwise independent

(ii)$$\,\,\,\,\,$$ $$A, B, C$$ are independent

3

IIT-JEE 1991

Subjective

+4

-0

In a test an examine either guesses or copies or knows the answer to a multiple choice question with four choices. The probability that he make a guess is $$1/3$$ and the probability that he copies the answer is $$1/6$$. The probability that his answer is correct given that he copied it, is $$1/8$$. Find the probability that he knew the answer to the questions given that he correctly answered it.

4

IIT-JEE 1990

Subjective

+5

-0

A is a set containing $$n$$ elements. $$A$$ subset $$P$$ of $$A$$ is chosen at random. The set $$A$$ is reconstructed by replacing the elements of $$P.$$ $$A$$ subset $$Q$$ of $$A$$ is again chosen at random. Find the probability that $$P$$ and $$Q$$ have no common elements.

Questions Asked from Probability (Subjective)

Number in Brackets after Paper Indicates No. of Questions

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