1
JEE Advanced 2024 Paper 2 Online
Numerical
+4
-0
A bag contains $N$ balls out of which 3 balls are white, 6 balls are green, and the remaining balls are blue. Assume that the balls are identical otherwise. Three balls are drawn randomly one after the other without replacement. For $i=1,2,3$, let $W_i, G_i$, and $B_i$ denote the events that the ball drawn in the $i^{\text {th }}$ draw is a white ball, green ball, and blue ball, respectively. If the probability $P\left(W_1 \cap G_2 \cap B_3\right)=\frac{2}{5 N}$ and the conditional probability $P\left(B_3 \mid W_1 \cap G_2\right)=\frac{2}{9}$, then $N$ equals ________.
Your input ____
2
JEE Advanced 2024 Paper 1 Online
Numerical
+4
-0
Let $X$ be a random variable, and let $P(X=x)$ denote the probability that $X$ takes the value $x$. Suppose that the points $(x, P(X=x)), x=0,1,2,3,4$, lie on a fixed straight line in the $x y$-plane, and $P(X=x)=0$ for all $x \in \mathbb{R}-\{0,1,2,3,4\}$. If the mean of $X$ is $\frac{5}{2}$, and the variance of $X$ is $\alpha$, then the value of $24 \alpha$ is _____________.
Your input ____
3
JEE Advanced 2023 Paper 2 Online
Numerical
+4
-0
Let $X$ be the set of all five digit numbers formed using 1,2,2,2,4,4,0. For example, 22240 is in $X$ while 02244 and 44422 are not in $X$. Suppose that each element of $X$ has an equal chance of being chosen. Let $p$ be the conditional probability that an element chosen at random is a multiple of 20 given that it is a multiple of 5 . Then the value of $38 p$ is equal to :
Your input ____
4
JEE Advanced 2023 Paper 2 Online
Numerical
+3
-0
Consider the $6 \times 6$ square in the figure. Let $A_1, A_2, \ldots, A_{49}$ be the points of intersections (dots in the picture) in some order. We say that $A_i$ and $A_j$ are friends if they are adjacent along a row or along a column. Assume that each point $A_i$ has an equal chance of being chosen.
![JEE Advanced 2023 Paper 2 Online Mathematics - Probability Question 5 English Comprehension](https://app-content.cdn.examgoal.net/fly/@width/image/1liiosmtt/1ce5b891-bafd-48ff-aeb9-f7f004f388ea/95db8010-0388-11ee-add3-0f52d4fe427d/file-1liiosmtu.png?format=png)
![JEE Advanced 2023 Paper 2 Online Mathematics - Probability Question 5 English Comprehension](https://app-content.cdn.examgoal.net/fly/@width/image/1liiosmtt/1ce5b891-bafd-48ff-aeb9-f7f004f388ea/95db8010-0388-11ee-add3-0f52d4fe427d/file-1liiosmtu.png?format=png)
Let $p_i$ be the probability that a randomly chosen point has $i$ many friends, $i=0,1,2,3,4$. Let $X$ be a random variable such that for $i=0,1,2,3,4$, the probability $P(X=i)=p_i$. Then the value of $7 E(X)$ is :
Your input ____
Questions Asked from Probability (Numerical)
Number in Brackets after Paper Indicates No. of Questions
JEE Advanced 2024 Paper 2 Online (1)
JEE Advanced 2024 Paper 1 Online (1)
JEE Advanced 2023 Paper 2 Online (3)
JEE Advanced 2022 Paper 1 Online (1)
JEE Advanced 2021 Paper 2 Online (1)
JEE Advanced 2021 Paper 1 Online (2)
JEE Advanced 2020 Paper 2 Offline (2)
JEE Advanced 2019 Paper 1 Offline (1)
JEE Advanced 2015 Paper 1 Offline (1)
JEE Advanced 2013 Paper 1 Offline (1)
JEE Advanced Subjects
Physics
Mechanics
Units & Measurements Motion Laws of Motion Work Power & Energy Impulse & Momentum Rotational Motion Properties of Matter Heat and Thermodynamics Simple Harmonic Motion Waves Gravitation
Electricity
Electrostatics Current Electricity Capacitor Magnetism Electromagnetic Induction Alternating Current Electromagnetic Waves
Optics
Modern Physics
Chemistry
Physical Chemistry
Some Basic Concepts of Chemistry Structure of Atom Redox Reactions Gaseous State Chemical Equilibrium Ionic Equilibrium Solutions Thermodynamics Chemical Kinetics and Nuclear Chemistry Electrochemistry Solid State Surface Chemistry
Inorganic Chemistry
Periodic Table & Periodicity Chemical Bonding & Molecular Structure Isolation of Elements Hydrogen s-Block Elements p-Block Elements d and f Block Elements Coordination Compounds Salt Analysis
Organic Chemistry
Mathematics
Algebra
Quadratic Equation and Inequalities Sequences and Series Mathematical Induction and Binomial Theorem Matrices and Determinants Permutations and Combinations Probability Vector Algebra 3D Geometry Statistics Complex Numbers
Trigonometry
Coordinate Geometry
Calculus