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1d
revised probability of couples.
added 233 characters in body
1d
answered probability of couples.
1d
comment What is the median of the pdf $f(x) = e ^{-x}$?
The cdf is $1-e^{-x}$. For it is $\int_0^x e^{-t}\,dt$ When you integrated, you forgot to "plug in" $0$.
1d
answered probability of sequence of exactly 3 heads
1d
comment Probability of winning a simple game
@grdgfgr: This is pretty close to a full answer. It may be a good idea to write an answer, so that the question will not remain unanswered.
1d
comment Find the values of $a,b,c$ of the complex function $f(x)= (ax+b)/(x+c)$
You have the right idea. Since $a,b,c$ are real, $f(-2i)=2i$ and $f(1-3i)=1+3i$.
1d
revised Binomial probability for sporting event where the order of the first 3 outcomes does not matter
added 68 characters in body
1d
comment I'm trying to reverse engineer a formula to find answers without trial and error.
Yes, sorry, I skipped a step there. Let the fee be $H$ (for hurts). Add VAT, and we get $H+(0.23)H$. This is $H(1+0.23)$, that is, $H(1.23)$.
1d
revised I'm trying to reverse engineer a formula to find answers without trial and error.
added 332 characters in body
1d
answered I'm trying to reverse engineer a formula to find answers without trial and error.
2d
comment How many different towers, with regards to colour, can be built?
The way to solve it is described in the answer by CuddlyCuttlefish.
2d
comment How many different towers, with regards to colour, can be built?
The idea is not right. And currently the blocks available are incompletely described, you have identified only $8$.
2d
comment Hensel's lemma & $p$-adic polynomial roots
Plugged in. But that may be because my meaning for $\mathbb{Z}_2$ is different from yours.
2d
comment Hensel's lemma & $p$-adic polynomial roots
Are you lifting roots mod $p$ to roots mod powers of $p$? That's what Hensel's Lemma is about. There are $2$ roots mod $2$, by inspection.
2d
revised Binomial probability for sporting event where the order of the first 3 outcomes does not matter
added 74 characters in body
2d
answered Binomial probability for sporting event where the order of the first 3 outcomes does not matter
2d
comment Finding Limit Using Taylor Polynomial
Maybe writing down too many terms in the expansions confuses you. There is a mistake or typo in the expression for $e^{x^2}-1$. You want $x^2+o(x^4)$. Parentheses would help.
2d
answered Which is the more likely outcome when dealing cards.
2d
comment Changing results of a random process
Concentrate on births, not "families" to validate your intuition.
2d
comment help with showing a series is divergent
@eXe: Result infinity means divergence. But before using a "test" it is good to just look at the terms.