1
JEE Advanced 2021 Paper 1 Online
Numerical
+2
-0
Change Language
Three numbers are chosen at random, one after another with replacement, from the set S = {1, 2, 3, ......, 100}. Let p1 be the probability that the maximum of chosen numbers is at least 81 and p2 be the probability that the minimum of chosen numbers is at most 40.

The value of $${{125} \over 4}{p_2}$$ is ___________.
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2
JEE Advanced 2020 Paper 2 Offline
Numerical
+3
-1
Change Language
The probability that a missile hits a target successfully is 0.75. In order to destroy the target completely, at least three successful hits are required. Then the minimum number of missiles that have to be fired so that the probability of completely destroying the target is NOT less than 0.95, is ............
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3
JEE Advanced 2020 Paper 2 Offline
Numerical
+4
-0
Change Language
Two fair dice, each with faces numbered 1, 2, 3, 4, 5 and 6, are rolled together and the sum of the numbers on the faces is observed. This process is repeated till the sum is either a prime number or a perfect square. Suppose the sum turns out to be a perfect square before it turns out to be a prime number. If p is the probability that this perfect square is an odd number, then the value of 14p is ..........
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4
JEE Advanced 2019 Paper 1 Offline
Numerical
+3
-0
Change Language
Let S be the sample space of all 3 $$ \times $$ 3 matrices with entries from the set {0, 1}. Let the events E1 and E2 be given by

E1 = {A$$ \in $$S : det A = 0} and

E2 = {A$$ \in $$S : sum of entries of A is 7}.

If a matrix is chosen at random from S, then the conditional probability P(E1 | E2) equals ...............
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