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Undergraduate
By Shiva Kintali on May 21, 2014 | Updated Jan. 4, 2018

99 fair coins

Person \(A\) flips 99 fair coins and obtains \(a\) heads. Person \(B\) flips 100 fair coins and obtains \(b\) heads. What is the probability that \(a < b\) ?
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High School
By True IITJEE on Jan. 9, 2017 | Updated Jan. 3, 2018

JEE Advanced 2016 Paper 1 Mathematics Question 40

A computer producing factory has only two plants \(T_1\) and \(T_2\). Plant \(T_1\) produces 20% and plant \(T_2\) produces 80% of the total computers produced. 7% of computers produced in the factory…
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Undergraduate
By Shiva Kintali on May 22, 2013 | Updated Dec. 6, 2017

Basics of probability

Prove that, if \(E_1, E_2, \dots, E_n\) are mutually independent, then so are \(\overline{E_1}, \overline{E_2}, \dots, \overline{E_n}\) Give an example of three random events \(X,Y,Z\) for which any …
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Undergraduate
By Shiva Kintali on May 19, 2013 | Updated Dec. 6, 2017

Detecting fair coin

You are given two coins: one is a fair coin and the other is a biased coin that produces heads with probability 3/4. One of the two coins is picked, and is tossed \(n\) times. How many tosses suffic…
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