Discover Sophie Germain primes special prime numbers with unique properties. Learn about their relation to safe primes applications in cryptography and how to identify them using Python.
Featured Articles on: PROBABILITY
Navigating the CBSE Board Exams 2025: A Comprehensive Guide
Conquer the CBSE Board Exams 2025 with our guide! Learn effective study strategies, time management tips, and overcome exam anxiety for success.
An Introduction to Probability for Beginners (Lecture Class Presentation Notes Nov 2023)
What is probability? Probability is a fundamental concept in mathematics and statistics that deals with the likelihood of an event occurring. It is a way to quantify uncertainty and make predictions based on available information. In simple terms, probability is a...
Multiplication Rule in Probability
The multiplication rule in probability is used to find the probability of the intersection of two or more independent event
Addition Rule in Probability
Addition Rule calculates the probability of one or more events occurring. For mutually exclusive events, add individual probabilities. For non-mutually exclusive events, add individual probabilities and subtract the probability of both events occurring.
Derive the Mean or Expected Value of Random Variable that has Poisson Distribution
Finding the Expected Value μ (mean) of Random Variable that has Poisson Distribution
λ (lambda) in Poisson distribution
In probability theory and statistics, λ (lambda) is a parameter used to represent the average rate or average number of events occurring in a fixed interval in the context of a Poisson distribution.
Derive the Second Moment of the Poisson Distribution
Derive the formula of Variance of the Poisson Distribution
Mastering Probability Theory: A Comprehensive Guide to Random Variable
Probability theory is a fascinating subject that has many applications in the real world. Understanding the basics of random variables and probability distributions is essential for anyone working in a field that deals with uncertainty. By mastering probability theory, …
Practical Examples of Continuous Random Variables
Practical illustrations of Random Variables that we are exposed to in our daily life
Probability Cause and Effect Problem
Question What does it mean for one event ? to cause another event ? - for example, smoking (?) to cause cancer (?)? There is a long history in philosophy, statistics, and the sciences of trying to clearly analyze the concept of a cause. One tradition says that causes...
Probability Problem: Suppose you roll a fair die two times. Let ? be the event “THE SUM OF THE THROWS EQUALS 5” and ? be the event “AT LEAST ONE OF THE THROWS IS A 4”. Solve for the probability that the sum of the throws equals 5, given that at least one of the throws is a 4. That is, solve ?(?|?).
Solution We have A = (1,4), (2,3), (3,2), (4,1) B = (1,4), (2,4), (3,4), (4,4), (5,4), (6,4), (4,1), (4,2), (4,3), (4,5), (4,6) \( P(A|B) = \dfrac {P(A∩B)}{P(B)} \) \( A∩B = (1,4), (4,1) \) The sample space comprises of 6×6 = 36 eventsHence,\( P(A∩B) = \dfrac{2}{36} =...