Skip to content
Mathemerize
Mathemerize
  • Home
  • Tutorials
    • Application of Derivatives
    • Binomial Theorem
    • Circles
    • Complex Numbers
    • Continuity
    • Definite Integration
    • Determinants
    • Differentiability
    • Differential Equations
    • Differentiation
    • Ellipse
    • Function
    • Hyperbola
    • Indefinite Integration
    • Inverse Trigonometric Function
    • Limits
    • Logarithm
    • Matrices
    • Parabola
    • Permutation & Combination
    • Probability
    • Relation
    • Sequences & Series
    • Sets
    • Statistics
    • Straight Line
    • Trigonometric Equations
    • Trigonometry
    • Vectors
  • Questions
    • Circle
    • Ellipse
    • Function
    • Hyperbola
    • Integration
    • Inverse Trigonometric Function
    • Limit
    • Logarithm
    • Parabola
    • Permutation & Combination
    • Probability
    • Series
    • Sets
    • Statistics
    • Straight Line
    • Trigonometric Equations
    • Trigonometry
    • Vectors
  • Examples
    • Trigonometry
    • Trigonometric Equation
    • Straight Line
    • Statistics
    • Sets
    • Sequences and Series
    • Scalar and Vector
    • Relations
    • Probability
    • Permutation and Combination
    • Parabola
    • Logarithm
    • Limits
    • Inverse Trignometric Function
    • Integration
    • Differentiability
    • Hyperbola
    • Function
    • Ellipse
    • Circle
  • Contact Us
Mathemerize
Mathemerize
  • Home
  • Tutorials
    • Application of Derivatives
    • Binomial Theorem
    • Circles
    • Complex Numbers
    • Continuity
    • Definite Integration
    • Determinants
    • Differentiability
    • Differential Equations
    • Differentiation
    • Ellipse
    • Function
    • Hyperbola
    • Indefinite Integration
    • Inverse Trigonometric Function
    • Limits
    • Logarithm
    • Matrices
    • Parabola
    • Permutation & Combination
    • Probability
    • Relation
    • Sequences & Series
    • Sets
    • Statistics
    • Straight Line
    • Trigonometric Equations
    • Trigonometry
    • Vectors
  • Questions
    • Circle
    • Ellipse
    • Function
    • Hyperbola
    • Integration
    • Inverse Trigonometric Function
    • Limit
    • Logarithm
    • Parabola
    • Permutation & Combination
    • Probability
    • Series
    • Sets
    • Statistics
    • Straight Line
    • Trigonometric Equations
    • Trigonometry
    • Vectors
  • Examples
    • Trigonometry
    • Trigonometric Equation
    • Straight Line
    • Statistics
    • Sets
    • Sequences and Series
    • Scalar and Vector
    • Relations
    • Probability
    • Permutation and Combination
    • Parabola
    • Logarithm
    • Limits
    • Inverse Trignometric Function
    • Integration
    • Differentiability
    • Hyperbola
    • Function
    • Ellipse
    • Circle
  • Contact Us

It is given that the events A and B are such that P(A) = 1/4, P(A/B) = 1/2 and P(B/A) = 2/3. Then, P(B) is equal to

Maths Questions, Probability Questions / By mathemerize

Solution :

We know that,

P(A/B) = \(P(A \cap B)\over P(B)\)    …….(i)

and P(B/A) = \(P(B \cap A)\over P(A)\)    ……….(ii)

\(\therefore\)  P(B) = \(P(B/A).P(A)\over P(A/B)\) = \(1\over 3\)


Similar Questions

The probability of India winning a test match against the west indies is 1/2 assuming independence from match to match. The probability that in a match series India’s second win occurs at the third test is

A fair die is tossed eight times. The probability that a third six is observed on the eight throw, is

Consider rolling two dice once. Calculate the probability of rolling a sum of 5 or an even sum.

A and B play a game, where each is asked to select a number from 1 to 25. If the two numbers match, both of them win a prize. The probability that they will not win a prize in a single trial is

A die is thrown. Let A be the event that the number obtained is greater than 3. Let B be the event that the number obtained is less than 5. Then, \(P(A \cup B)\) is

Post navigation
← Previous Post
Next Post →

Leave a Comment Cancel Reply

Your email address will not be published. Required fields are marked *

Recent Post

  • Area of Frustum of Cone – Formula and Derivation
  • Volume of a Frustum of a Cone – Formula and Derivation
  • Segment of a Circle Area – Formula and Examples
  • Sector of a Circle Area and Perimeter – Formula and Examples
  • Formula for Length of Arc of Circle with Examples

Categories

  • Application of Derivatives
  • Binomial Theorem
  • Circles
  • Complex Numbers
  • Continuity
  • Definite Integration
  • Determinants
  • Differentiability
  • Differential Equations
  • Differentiation
  • Ellipse
  • Function
  • Hyperbola
  • Indefinite Integration
  • Inverse Trigonometric Function
  • Limits
  • Logarithm
  • Maths Questions
    • Application of Derivatives Questions
    • Area and Volume Questions
    • Binomial Theorem Questions
    • Circle Questions
    • Determinant Questions
    • Differentiation Questions
    • Ellipse Questions
    • Function Questions
    • Hyperbola Questions
    • Integration Questions
    • Inverse Trigonometric Function Questions
    • Limit Questions
    • Linear Equation in Two Variables Questions
    • Logarithm Questions
    • Parabola Questions
    • Permutation & Combination Questions
    • Polynomial Questions
    • Probability Questions
    • Real Numbers Questions
    • Series Questions
    • Sets Questions
    • Similar Triangles Questions
    • Statistics Questions
    • Straight Line Questions
    • Triangles Questions
    • Trigonometric Equations Questions
    • Trigonometry Questions
    • Vectors Questions
  • Matrices
  • Number System
  • Parabola
  • Permutation & Combination
  • Probability
  • Quadratic Equation
  • Relation
  • Sequences & Series
  • Sets
  • Statistics
  • Straight Line
  • Surface Area & Volumes
  • Triangles
  • Trigonometric Equations
  • Trigonometry
  • Vectors

About | Contact Us | Privacy Policy | Terms & Conditions
Mathemerize.com

Copyright © 2022