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  2. Hockey-stick identity - Wikipedia

    en.wikipedia.org/wiki/Hockey-stick_identity

    We can then divide our committee-forming process into + exhaustive and disjoint cases based on the committee member with the lowest number, . Note that there are only k {\displaystyle k} people without numbers, meaning we must choose at least one person with a number in order to form a committee of k + 1 {\displaystyle k+1} people.

  3. Joint Entrance Examination - Wikipedia

    en.wikipedia.org/wiki/Joint_Entrance_Examination

    JEE-Main, unlike JEE-Advanced, has a fixed exam structure and is not subject to change every year. Up until 2018, the JEE-Main Paper-I was three hours long and consisted of thirty questions in each of the three subjects (physics, chemistry and maths). 4 marks are awarded for correct answers and 1 mark is deducted for incorrect answers.

  4. Joint Entrance Examination – Advanced - Wikipedia

    en.wikipedia.org/wiki/Joint_Entrance_Examination...

    The Joint Entrance Examination – Advanced (JEE-Advanced) (formerly the Indian Institute of Technology – Joint Entrance Examination (IIT-JEE)) is an academic examination held annually in India that tests the skills and knowledge of the applicants in physics, chemistry and mathematics.

  5. Joint Entrance Examination – Main - Wikipedia

    en.wikipedia.org/wiki/Joint_Entrance_Examination...

    The number of attempts which a candidate can avail at the examination is limited to three in consecutive years. As of 2018, the top 2,24,000 rankers of JEE-Main will qualify to take the second and final level of examination: JEE-Advanced. this number of 2.24 lakh is not fixed this may vary as per difficulty level of paper of JEE-Main. [7]

  6. Rule of succession - Wikipedia

    en.wikipedia.org/wiki/Rule_of_succession

    In probability theory, the rule of succession is a formula introduced in the 18th century by Pierre-Simon Laplace in the course of treating the sunrise problem. [1] The formula is still used, particularly to estimate underlying probabilities when there are few observations or events that have not been observed to occur at all in (finite) sample data.

  7. Probability density function - Wikipedia

    en.wikipedia.org/wiki/Probability_density_function

    In probability theory, a probability density function (PDF), density function, or density of an absolutely continuous random variable, is a function whose value at any given sample (or point) in the sample space (the set of possible values taken by the random variable) can be interpreted as providing a relative likelihood that the value of the ...

  8. Chain rule (probability) - Wikipedia

    en.wikipedia.org/wiki/Chain_rule_(probability)

    This rule allows one to express a joint probability in terms of only conditional probabilities. [4] The rule is notably used in the context of discrete stochastic processes and in applications, e.g. the study of Bayesian networks, which describe a probability distribution in terms of conditional probabilities.

  9. Chapman–Kolmogorov equation - Wikipedia

    en.wikipedia.org/wiki/Chapman–Kolmogorov_equation

    In mathematics, specifically in the theory of Markovian stochastic processes in probability theory, the Chapman–Kolmogorov equation (CKE) is an identity relating the joint probability distributions of different sets of coordinates on a stochastic process.