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MCQ (Single Correct Answer)
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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
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A, B, C are mutually exclusive events such that $$P(A) = {{3x + 1} \over 3}$$, $$P(B) = {{1 - x} \over 4}$$ and $$P(C) =...
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Four persons A, B, C and D throw and unbiased die, turn by turn, in succession till one gets an even number and win the ...
WB JEE 2021
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A rifleman is firing at a distant target and has only 10% chance of hitting it. The least number of rounds he must fire ...
WB JEE 2020
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Four persons A, B, C and D throw an unbiased die, turn by turn, in succession till one gets an even number and win the g...
WB JEE 2020
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If X is a random variable such that $$\sigma$$(X) = 2.6, then $$\sigma$$(1 $$-$$ 4X) is equal to
WB JEE 2019
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A problem in mathematics is given to 4 students whose chances of solving individually are $${{1 \over 2}}$$, $${{1 \over...
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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
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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
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The probability that a non-leap year selected at random will have 53 Sunday is
WB JEE 2017
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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
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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
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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
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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
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Three numbers are chosen at random from 1 to 20. The probability that they are consecutive is
WB JEE 2009
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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
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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
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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...
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Subjective
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If an unbiased coin is tossed n times. Find the probability that head appears an odd number of times.
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