Category Archives: Random

[Soln] Problem involving two coins

Posted on 18 Jan 2023 by kjytay

Let such that . Assume we have two coins such that the probability of coin 1 landing on heads (after flipping it) is and the probability of coin 2 landing on heads is . For what values of do there … Continue reading →

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Problem involving two coins

Posted on 17 Jan 2023 by kjytay

Let such that . Assume we have two coins such that the probability of coin 1 landing on heads (after flipping it) is and the probability of coin 2 landing on heads is . For what values of do there … Continue reading →

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p^2-q and q^2-p prime

Posted on 17 Feb 2018 by kjytay

“ and  are 2 prime numbers.  and  are also prime. If you divide  by a composite number , where , you’ll get a remainder of 14. If you divide  by the same number, what will you get as the remainder?” – Akash

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Stats Joke

Posted on 22 Mar 2017 by kjytay

From page 68 of Simon Singh’s The Simpsons and their Mathematical Secrets: While heading to a conference on board a train, three statisticians meet three biologists. The biologists complain about the cost of the train fare, but the statisticians reveal … Continue reading →

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[Soln] Problem-Solving Strategies Ch 9 Problem 25

Posted on 18 May 2016 by kjytay

Engel 9.25. The sequence is defined by , . Find the integer part of the sum Note: This problem was taken from Arthur Engel’s Problem-Solving Strategies.

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Problem-Solving Strategies Ch 9 Problem 25

Posted on 17 May 2016 by kjytay

Engel 9.25. The sequence is defined by , . Find the integer part of the sum Note: This problem was taken from Arthur Engel’s Problem-Solving Strategies.

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[Soln] Zero Determinant

Posted on 16 May 2016 by kjytay

Let and be two matrices with complex entries, such that . Prove that . (Credits: I learnt of this problem from this link.)

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Zero Determinant

Posted on 15 May 2016 by kjytay

Let and be two matrices with complex entries, such that . Prove that . (Credits: I learnt of this problem from this link.)

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[Soln] Find f(-100)

Posted on 30 Apr 2016 by kjytay

Let be a polynomial such that Find . (Credits: I learnt of this problem from Zi Song Yeoh on brilliant.org.)

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Find f(-100)

Posted on 29 Apr 2016 by kjytay

Let be a polynomial such that Find . (Credits: I learnt of this problem from Zi Song Yeoh on brilliant.org.)

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