WB JEE 2012 | Probability Question 9 | Mathematics | WB JEE - ExamSIDE.Com

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Algebra

Sets and Relations

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Logarithms

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Sequence and Series

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Quadratic Equations

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Permutations and Combinations

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Mathematical Induction and Binomial Theorem

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Mathematical Induction

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Binomial Theorem

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Matrices and Determinants

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Vector Algebra

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Three Dimensional Geometry

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Probability

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Complex Numbers

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Statistics

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Trigonometry

Trigonometric Functions & Equations

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Inverse Trigonometric Functions

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Properties of Triangle

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Coordinate Geometry

Straight Lines and Pair of Straight Lines

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Circle

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Parabola

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Ellipse

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Hyperbola

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Calculus

Functions

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Limits, Continuity and Differentiability

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Differentiation

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Application of Derivatives

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Indefinite Integrals

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Definite Integration

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Application of Integration

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Differential Equations

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1

WB JEE 2012

MCQ (Single Correct Answer)

+1

-0.33

Two decks of playing cards are well shuffled and 26 cards are randomly distributed to a player. Then, the probability that the player gets all distinct cards is

A

$${}^{52}{C_{26}}$$ / $${}^{104}{C_{26}}$$

B

2 $$\times$$ $${}^{52}{C_{26}}$$ / $${}^{104}{C_{26}}$$

C

2¹³ $$\times$$ $${}^{52}{C_{26}}$$ / $${}^{104}{C_{26}}$$

D

2²⁶ $$\times$$ $${}^{52}{C_{26}}$$ / $${}^{104}{C_{26}}$$

2

WB JEE 2025

MCQ (Single Correct Answer)

+1

-0.25

If $E$ and $F$ are two independent events with $P(E)=0.3$ and $P(E \cup F)=0.5$, then $P(E / F)-P(F / E)$ equals

A

$\frac{2}{7}$

B

$\frac{3}{35}$

C

$\frac{1}{70}$

D

$\frac{1}{7}$

3

WB JEE 2025

MCQ (Single Correct Answer)

+2

-0.5

The probability that a non-leap year selected at random will have 53 Sundays or 53 Saturdays is

A

$\frac{1}{7}$

B

$\frac{2}{7}$

C

$1$

D

$\frac{2}{365}$

4

WB JEE 2024

MCQ (Single Correct Answer)

+1

-0.25

Two smallest squares are chosen one by one on a chess board. The probability that they have a side in common is

A

$$\frac{1}{9}$$

B

$$\frac{2}{7}$$

C

$$\frac{1}{18}$$

D

$$\frac{5}{18}$$

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