Problems in Mathematics https://validator.w3.org/feed/docs/rss2.html 0 Interchangeability of Limits and Probability of Increasing or Decreasing Sequence of Events Independent Events of Playing Cards How to Prove Markov’s Inequality and Chebyshev’s Inequality How to Use the Z-table to Compute Probabilities of Non-Standard Normal Distributions Expected Value and Variance of Exponential Random Variable Condition that a Function Be a Probability Density Function Probability that Alice Tossed a Coin Three Times If Alice and Bob Tossed Totally 7 Times Conditional Probability When the Sum of Two Geometric Random Variables Are Known Probability that Three Pieces Form a Triangle Upper Bound of the Variance When a Random Variable is Bounded Probability of Getting Two Red Balls From the Chosen Box Coupon Collecting Problem: Find the Expectation of Boxes to Collect All Toys Can a Student Pass By Randomly Answering Multiple Choice Questions? Expectation, Variance, and Standard Deviation of Bernoulli Random Variables Given the Variance of a Bernoulli Random Variable, Find Its Expectation Probabilities of An Infinite Sequence of Die Rolling Probability that Alice Wins n Games Before Bob Wins m Games Conditions on Coefficients that a Matrix is Nonsingular Find the Inverse Linear Transformation if the Linear Transformation is an Isomorphism Find All the Eigenvalues of Power of Matrix and Inverse Matrix The Matrix Representation of the Linear Transformation $T (f) (x) = ( x^2 – 2) f(x)$ Column Rank = Row Rank. (The Rank of a Matrix is the Same as the Rank of its Transpose) Linearity of Expectations E(X+Y) = E(X) + E(Y) Successful Probability of a Communication Network Diagram Lower and Upper Bounds of the Probability of the Intersection of Two Events Find the Conditional Probability About Math Exam Experiment What is the Probability that Selected Coin was Two-Headed? If a Smartphone is Defective, Which Factory Made It? Overall Fraction of Defective Smartphones of Three Factories Conditional Probability Problems about Die Rolling If At Least One of Two Coins Lands Heads, What is the Conditional Probability that the First Coin Lands Heads? Probability of Having Lung Cancer For Smokers There is Exactly One Ring Homomorphism From the Ring of Integers to Any Ring Complement of Independent Events are Independent Independent and Dependent Events of Three Coins Tossing Jewelry Company Quality Test Failure Probability What is the Probability that All Coins Land Heads When Four Coins are Tossed If…? Pick Two Balls from a Box, What is the Probability Both are Red? Probability Problems about Two Dice The Zero is the only Nilpotent Element of the Quotient Ring by its Nilradical The Number of Elements in a Finite Field is a Power of a Prime Number Basis with Respect to Which the Matrix for Linear Transformation is Diagonal Three Equivalent Conditions for an Ideal is Prime in a PID Every Prime Ideal of a Finite Commutative Ring is Maximal Finite Integral Domain is a Field Determine the Number of Elements of Order 3 in a Non-Cyclic Group of Order 57 Privacy Policy Welcome to Problems in Mathematics Fundamental Theorem of Finitely Generated Abelian Groups and its application Polynomial $x^p-x+a$ is Irreducible and Separable Over a Finite Field