Am trying to write a program which gives each user in a raffle contest their odds so far at winning. The rules of the game are simple: A predefined number...

So I need to find the expected value of the random variable X that denotes the number of coin flips needed to get all of the same side (all heads or all t...

I know how to solve exponential equations. Just use logarithms, e.g., $$ 2^x-3=0 \\ 2^x=3 \\ x=log_23 \\ $$ But on a recent math test I found an equation ...

Which is bigger, $ \log_{1000} 1001$ or $\log_{999} 1000 $? I've tried using the identity of $\log_n x = \dfrac 1 {\log_x n} $, but didn't find ...

when i'm using Euler's reflection formula $\Gamma(1/4)$ appears which i'm unable to solve again

Let N ∼ Poisson(λ). You flip a coin a random number of times N. Each time a head will come with probability p, independently of N. Let X be the (random) n...

I'm searching for some very big {more less $2^{1024}$} highly composite number (HCN), for a number theory experiment, so I asked myself "if there are...

A hypothetical example: You have a 1/1000 chance of being hit by a bus when crossing the street. However, if you perform the action of crossing the street...

I was looking through the definition of an induced subgraph, and it states that if $G'$ is an induced subgraph of $G$, then $V(G')\subseteq V(G)...

In 3D two planes are orthogonal when their normal vectors are orthogonal (their inner product is zero). For example, planes $xy$ and $xz$ are orthogonal b...