1

IIT-JEE 1996

MCQ (Single Correct Answer)

+2

-0.5

For the three events $$A, B,$$ and $$C,P$$ (exactly one of the events $$A$$ or $$B$$ occurs) $$=P$$ (exactly one of the two events $$B$$ or $$C$$ occurs)$$=P$$ (exactly one of the events $$C$$ or $$A$$ occurs)$$=p$$ and $$P$$ (all the three events occur simultaneously) $$ = {p^2},$$ where $$0 < p < 1/2.$$ Then the probability of at least one of the three events $$A,B$$ and $$C$$ occurring is

2

IIT-JEE 1995 Screening

MCQ (Single Correct Answer)

+2

-0.5

The probability of India winning a test match against West Indies is $$1/2$$. Assuming independence from match to match the probability that in a $$5$$ match series India's second win occurs at third test is

3

IIT-JEE 1995 Screening

MCQ (Single Correct Answer)

+2

-0.5

Three of six vertices of a regular hexagon are chosen at random. The probability that the triangle with three vertices is equilateral, equals

4

IIT-JEE 1994

MCQ (Single Correct Answer)

+2

-0.5

Let $$A, B, C$$ be three mutually independent events. Consider the two statements $${S_1}$$ and $${S_2}$$

$${S_1}\,:\,A$$ and $$B \cup C$$ are independent

$${S_2}\,:\,A$$ and $$B \cap C$$ are independent

Then,

$${S_1}\,:\,A$$ and $$B \cup C$$ are independent

$${S_2}\,:\,A$$ and $$B \cap C$$ are independent

Then,

Questions Asked from Probability (MCQ (Single Correct Answer))

Number in Brackets after Paper Indicates No. of Questions

JEE Advanced 2023 Paper 2 Online (1)
JEE Advanced 2023 Paper 1 Online (1)
JEE Advanced 2022 Paper 2 Online (1)
JEE Advanced 2022 Paper 1 Online (1)
JEE Advanced 2021 Paper 1 Online (1)
JEE Advanced 2020 Paper 1 Offline (1)
JEE Advanced 2018 Paper 1 Offline (2)
JEE Advanced 2017 Paper 2 Offline (1)
JEE Advanced 2016 Paper 2 Offline (2)
JEE Advanced 2016 Paper 1 Offline (1)
JEE Advanced 2014 Paper 2 Offline (3)
JEE Advanced 2013 Paper 2 Offline (2)
JEE Advanced 2013 Paper 1 Offline (1)
IIT-JEE 2012 Paper 2 Offline (1)
IIT-JEE 2011 Paper 1 Offline (2)
IIT-JEE 2010 Paper 1 Offline (1)
IIT-JEE 2010 Paper 2 Offline (1)
IIT-JEE 2009 Paper 1 Offline (3)
IIT-JEE 2008 Paper 2 Offline (1)
IIT-JEE 2008 Paper 1 Offline (1)
IIT-JEE 2007 (2)
IIT-JEE 2007 Paper 2 Offline (1)
IIT-JEE 2006 (3)
IIT-JEE 2005 Screening (1)
IIT-JEE 2004 Screening (1)
IIT-JEE 2003 Screening (2)
IIT-JEE 1999 (1)
IIT-JEE 1998 (5)
IIT-JEE 1996 (1)
IIT-JEE 1995 Screening (2)
IIT-JEE 1994 (1)
IIT-JEE 1993 (1)
IIT-JEE 1992 (1)
IIT-JEE 1988 (1)
IIT-JEE 1986 (2)
IIT-JEE 1984 (2)
IIT-JEE 1983 (1)
IIT-JEE 1982 (1)
IIT-JEE 1980 (2)
IIT-JEE 1979 (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 Equilibrium Solutions States of Matter 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 and 3D Geometry Statistics Complex Numbers

Trigonometry

Coordinate Geometry

Calculus