1

IIT-JEE 1994

Subjective

+5

-0

An unbiased coin is tossed. If the result is a head, a pair of unbiased dice is rolled and the number obtained by adding the numbers on the two faces is noted. If the result is a tail, a card from a well shuffled pack of eleven cards numbered $$2, 3,4,.....12$$ is picked and the number on the card is noted. What is the probability that the noted number is either $$7$$ or $$8$$?

2

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.

3

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

4

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.

Questions Asked from Probability (Subjective)

Number in Brackets after Paper Indicates No. of Questions

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