And, not to pick on you, but speaking of definitions, “collage” according to Webster is: “an artistic composition made of various materials (such as paper, cloth, or wood) glued on a surface.” “College” is: “an independent institution of higher learning offering a course of general studies leading to a bachelor’s degree,” or “an organized body of persons engaged in a common pursuit or having common interests or duties.” I hope you’re not paying a lot of tuition to teach your kids how to glue pictures to cardboard (I’d buy “it’s a typo” except you used it twice, and that impacts the forcefulness of the point you’re making;

if you misused “collage” when you meant “college,” does that also call into question the accuracy of your statistics?).
—

Elrod
Yes, it does call into question the accuracy of my statistics.

I do make mistakes. This is one of the reasons I often put citations in my articles. That is so you can check my work.

It is also why I put my math in documents. I don’t just give you a number. I tell you how I got to that number. I.e. I show my work.

$$\mathrm{P(A)}=\frac{f}{N}$$

Where **P(A)** is the probability of an event (A) occurring, **f** the frequency of the event, and **N** is the total number of occurrences.

So if there is a 1 in 5 chance, the probability is $\frac{1}{5}=0.200$.

The probability of events **A** and **B** happens is $\mathrm{P(A\; and\; B)}=\mathrm{P(A)}\times \mathrm{P(B)}$.

Using De Morgan’s Law, we know that NOT (A or B) is equal to NOT A and NOT B. When addressing the question of rape, we are looking for the probability of a woman NOT being raped in year 1 AND of not being raped in years 2, and so forth. This if the probability of being raped is 1 in 4 while in collage, that means that we have NOT(P(rape(y1)) or P(rape(y2)) or P(rape(y3)) or P(rape(y4)) = 3/4 = 0.75. Y1 through y4 represent years at collage. We are assuming a four-year collage.

P(rape(yN)) is fixed at some value, for the sake of argument and ease of calculation.

$$\begin{array}{ccc}{\mathrm{P(rape(Y))}}^{4}& =& 0.75\\ \mathrm{P(rape(Y))}& =& \sqrt[4]{0.75}\\ \mathrm{P(rape(Y))}& =& 0.930604859\end{array}$$

Now that we know what the probability of a woman not being raped, per year, while in collage. We can restate it as the probability of a woman being raped. That is simply $1\u20130.930604859$ or 0.06939514. Converting to a percentage, that gives us a 6.94% chance of a woman being raped per year at collage.

We want to convert this to per capita using 100K. This is simply multiplying the percentage by 100,000 which gives us 6939 per 100,000 women attending collage.

You can verify the formulas used at —*How To Calculate Probability: Formula, Examples and Steps*, Indeed Career Guide, (last visited Aug. 4, 2024).

So what about the other direction? I used two sources. One was found using “rapes per capita by state” and the other was “rapes per capita by country”. The value given for rapes per capita by states for the US was 40 per 100k. The per country gave us 41.77 per 100k. This being close enough to 40 that I choose to use the 40 per 100k as being “good enough”.

—*Rape Statistics by Country 2024*, (last visited Aug. 4, 2024)

Using 40/100000 gives us $\mathrm{P(rape(Y))}=0.0004$. This gives the probability of not being raped as $0.9996$. Using our formula for multiple occurrences and using a 50-year span, we get ${0.9996}^{50}=0.9802$. This means that the probability of a woman being raped over the course of 50 years is 0.0198 or 1.98%.

As Elrod stated, this all depends on your definition of rape. Definitions matter. As an example, in some countries, like the UK, it is not a murder unless the person is convicted of murder. So, again as Elrod said, a man with 6 bullet holes in the back of his head is just a dead person, not a murder victim, until and unless a person is convicted of the crime.

Rape is much the same. Different places have different definitions. In particular, the US statistics I used were “forcible rape”. This has a better definition than just the word “rape”.

All of the above is just to get to the following paragraph.

I struggle with dyslexia. The result of this is that once I type a word, it always looks correct to me. Or almost always. Spell checkers go a long way to fixing simple misspellings. I have to work to misspell a word.

I also pay for a plugin called LanguageTool. This does grammar analysis as well. Unfortunately, if the word I am using is grammatical correct, LanguageTool often does not catch my errors.

In the course of an article, I will expect between 10 and 100 error corrections. I apologize for those that get through.

Here is a word that I hope you do not struggle with, sweet and sweat. One of those words means a nice thing to eat, filled with yummy sugar like flavor. The other is what happens when you exercise.

I don’t think you want me to give you a sweat tart on Halloween.

I believe I have that correct, I would have to look up the word in a dictionary in order to double-check it.

So please, if I make a mistake, call me on it. If I don’t give you the references, it is likely because I didn’t bother to click the buttons to make a citation, I was lazy. Call me on it.