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## Probability

### Mathematics

#### Previous Years Questions

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A determinant is chosen at random from the set of all determinants of order 2 with elements 0 or 1 only. The probability...
WB JEE 2022
A, B, C are mutually exclusive events such that $$P(A) = {{3x + 1} \over 3}$$, $$P(B) = {{1 - x} \over 4}$$ and $$P(C) =... WB JEE 2022 Four persons A, B, C and D throw and unbiased die, turn by turn, in succession till one gets an even number and win the ... WB JEE 2021 A rifleman is firing at a distant target and has only 10% chance of hitting it. The least number of rounds he must fire ... WB JEE 2020 Four persons A, B, C and D throw an unbiased die, turn by turn, in succession till one gets an even number and win the g... WB JEE 2020 If X is a random variable such that$$\sigma$$(X) = 2.6, then$$\sigma$$(1$$-$$4X) is equal to WB JEE 2019 A problem in mathematics is given to 4 students whose chances of solving individually are$${{1 \over 2}}$$,$${{1 \over...
WB JEE 2019
A student appears for tests I, II and III. The student is successful if he passes in tests I, II or I, III. The probabil...
WB JEE 2018
In order to get a head at least once with probability $$\ge$$ 0.9, the minimum number of times a unbiased coin needs t...
WB JEE 2018
The probability that a non-leap year selected at random will have 53 Sunday is
WB JEE 2017
A coin is tossed again and again. If tail appears on first three tosses, then the chance that head appears on fourth tos...
WB JEE 2011
4 boys and 2 girls occupy seats in a row at random. Then the probability that the two girls occupy seats side by side is...
WB JEE 2011
The probability that at least one of A and B occurs is 0.6. If A and B occur simultaneously with probability 0.3, then P...
WB JEE 2010
Two dice are tossed once. The probability of getting an even number at the first die or a a total of 8 is
WB JEE 2010
Three numbers are chosen at random from 1 to 20. The probability that they are consecutive is
WB JEE 2009
A and B are two independent events such that P(A $$\cup$$ B') = 0.8 and P(A) = 0.3. Then P(B) is
WB JEE 2009
A person draws out two balls successively from a bag containing 6 red and 4 white balls. The probability that at least o...
WB JEE 2008

## MCQ (More than One Correct Answer)

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A and B are independent events. The probability that both A and B occur is $${1 \over {20}}$$ and the probability that n...
WB JEE 2020

## Subjective

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If an unbiased coin is tossed n times. Find the probability that head appears an odd number of times.
WB JEE 2008

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