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A very easy probability problem but opinions diverge greatly. Need some help. The question itself is a very easy one:     Somebody has got two kids, one of whom is a girl. Then what's the probability that he's got at least one boy?   My answer is that, since he's already got a girl, then "he's got at least one boy" amounts to "the other kid is a boy", whose probability is apparently $\frac{1}{2}$. But my friends argue that the probability should be $\frac23$: they say this is a binomial distribution, all the possible cases are (girl,girl),(girl,boy),(boy,girl) which yields that the probability is two cases out of three and is thus $\frac23$. But I think this is totally unacceptable. I don't think it is a binomial distribution at all, at least not what my friends explained to me. However, I just can't disuade them of their opinion, nor can I prove that I am wrong. So what on earth is the probability? and why? Any help is appreciated. Thanks in advance. Esp. Can anybody show why my explanation is wrong? Isn't it that whether the other kid is a boy or a girl a 50/50 event?  EDIT: Thanks for all the help you provided for me, and special thanks will go to @HammyTheGreek and @KSmarts, who have made it clear to me that there is in fact some ambiguity in my statement in this problem. As is pointed in  ,two distinct interpretation of the statement "one of whom is a girl" that gives rise to ambiguity:     From all families with two children, at least one of whom is a boy, a family is chosen at random. This would yield the answer of 1/3.   From all families with two children, one child is selected at random, and the sex of that child is specified to be a boy. This would yield an answer of 1/2. Accented letters with IM FELL fonts I am having an error compiling the following code with xelatex and lualatex:  ** WARNING ** "seac" character deprecated in Type 2 charstring. ** ERROR ** Type2 Charstring Parser: Parsing charstring failed: (status=-1, stack=5)  Output file removed.  \documentclass{article}  \usepackage{xunicode} \usepackage{fontspec}  \setmainfont[Mapping=tex-text,Ligatures={Common}, Numbers={OldStyle}]{IM FELL English PRO} \begin{document}  Buongiorno a tutti. Trallallà.  \end{document}   The error disappears when I omit the accented à. It also doesn't happen when I use other fonts.  Could you suggest any workaround?  Thank you, A Finding local maximum and minimum How to run adb and fastboot commands from Termux? What does "All things X" mean? Holomorphic self map on the open unit disc Is there a way to add an error on a dynamically referenced field? Let's take this simple example:  opp.get('Name').addError('Invalid name');   This is not working, I'm looking for a similar minded way.  Thanks Is there a way to get the name of the currently executing method in Java? Finding $\int \frac{dx}{a+b \cos x}$ without Weierstrass substitution. I saw somewhere on Math Stack that there was a way of finding integrals in the form $$\int \frac{dx}{a+b \cos x}$$ without using Weierstrass substitution, which is the usual technique.   When $a,b=1$ we can just multiply the numerator and denominator by $1-\cos x$ and that solves the problem nicely.   But I remember that the technique I saw was a nice way of evaluating these even when $a,b\neq 1$. I often hear about the wave-particle duality, and how particles exhibit properties of both particles and waves. However, I wonder, is this actually a duality? At the most fundamental level, we 'know' that everything is made up out of particles, whether those are photons, electrons, or maybe even strings. That light for example, also shows wave-like properties, why does that even matter? Don't we know that everything is made up of particles? In other words, wasn't Young wrong and Newton right, instead of them both being right? An inequality about Stirling numbers For all positive integers $n,r,k$ that $n=rk$, how to prove the inequality $$(r-1)!^k\le \frac{c(n,k)}{S(n,k)}\le (n-k)!$$ $c(n,k)$ is unsigned Stirling numbers of the first kind and $S(n,k)$ is Stirling numbers of the second kind.  Any help would be appreciated! Which is better: Employer-sponsored HSA or opening an HSA individually? So I know that:   Employer-sponsored HSA's allow you to deduct contributions directly from your paycheck, pre-tax With individual HSAs, you must contribute using post-tax dollars, then deduct those contributions from your taxable income when you do your taxes   Given those facts, I guess it's marginally better to use an employer-sponsored HSA because it means the government doesn't temporarily hold on to your taxed income, only to return it later after you do your taxes; you could theoretically put that money to work in an investment vehicle instead of having the government hold it hostage for a while.  But are there any other benefits (either way) that I'm not aware of? The  kind of threw me with the following statement:     The main advantage of making pre-tax contributions is the Federal Insurance Contributions Act tax (FICA) and Medicare Tax deduction, which amounts to a savings of 7.65% each to the employer and employee (subject to limits of the Social Security Wage Base).   But I'm not really sure what that's telling me.  My employer is offering an HSA, but is not offering to contribute to the HSA or match my contributions. So if it's all pretty much the same, I'd rather use the bank of my choosing and manage it privately.  Thanks. I want to see you.   I look forward to seeing you.      How can one say "to" in the first sentence is an infinitive marker and in the second sentence a preposition when we are given just the following two sentences and are asked to fill in the blanks?        I want to ____(see/seeing) you.   I look forward to __(see/seeing) you. Can someone give a simple explanation as to why the       $$\sum_{n=1}^\infty\frac1n=\frac 1 1 + \frac 12 + \frac 13 + \cdots $$   doesn't converge, on the other hand it grows very slowly?   I'd prefer an easily comprehensible explanation rather than a rigorous proof regularly found in undergraduate textbooks. Is there any Sound enhancers/equalizer? How can I know the default PGF line width? Is there some macro that will tell me what the default PGF line width is? I have tried creating my own macro by cloning \pgflinewidth before it has been modified, i.e.  \let\defaultlinewidth\pgflinewidth   but \defaultlinewidth seems to be affected by \pgfsetlinewidth anyway, and change to whatever \pgflinewidth is. So, the problem is that after I have called \pgfsetlinewidth, I don't know what the default pgf line width is anymore. Is there some way to get around this? Why do we have more male infants born? How to include PDF pages without a newpage before the first page? Securely erasing all data from a hard drive sir, problem about a host file sir, over department created a host file to run over office program in windows, but they give us dell system having operating system ubuntu 16.4 now my question is that how this add file in ubuntu to run the program. the windows command is given below  TO ACCESS FIORI - Please Follow the Instructions in this Video  Path:- C:\Windows\System32\drivers\etc  Copy attached Hosts File in the above path.  Fiori Link to access SAP in Google Chrome: