Dec 5, 2015 · A fair coin is flipped $n$ times. What is the probability $p_k$, that the lead between "heads" and "tails" changes exactly $k$ times ? For example, the sequence ...

Jul 9, 2017 · Given a tree, how can we find the number of "sub trees" of this tree. Following example illustrates the previous statement. eg: Consider a tree with 3 nodes and having the following edges: 0 …

Jun 11, 2017 · I'd like to know how to solve these using euclid. I have checked some videos on youtube but I either didn't understand them or it was done without euclid.. If there is exact same question, …

Apr 5, 2023 · I found this question talking about the relation between an equilateral triangle and cubics with three distinct real roots. Here's an image from the original post with an example: What this post s...

With given N numbers only one of those numbers doesn't have pair, which one is it? After hours of surfing the net i found that XOR operator is good for that, because X xor X=0 X xor 0=X and A xor ...

A regular polygon with 12 sides (dodecagon) is inscribed in a square of area 24 square units as shown in the figure where four of the vertices are mid points of the sides of the square . The area...

Jan 11, 2022 · I am inspired by spherical tilings: How do you take a sphere, such as one roughly the size of earth, which has a radius (assuming perfect sphere) of 6,356,000 meters, and divide it into …

Jan 16, 2015 · I'm trying to figure Taylor series for $\\sqrt{x}$. Unfortunately all web pages and books show examples for $\\sqrt{x+1}$. Is there any particular reason no one shows Taylor series for …

Oct 19, 2017 · In a multiple choice question there are 4 alternative answers of which 1, 2, 3, or all may be correct. A candidate decides to tick answers at random. If he is allowed upto 5 chances to answer …

Aug 15, 2020 · You obviously can never become infinitely rich, so the probability you speak of is the probability that you never go broke.