# Questions tagged [probability]

For questions about the teaching of probability, dealing with students misconceptions in probability, and explaining probability theory paradoxes.

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256 views

### Best resources for probability/statistics textbooks

I'm looking for a good textbook introduction to probability/statistics that a first/second year undergrad math student could use! I'd like a book that emphasizes theory over procedure. I'd prefer an ...
125 views

### Difficulty in explaining sample space

I am running into problems explaining to my students in high school what exactly is sample space in probabilities, especially with identical objects. For example, according to Q6.2.3 of this UIC ...
142 views

### What story and one-digit Natural Numbers best fit Bayes' Theorem chart?

Some students have sniveled that most examples of Bayes' Theorem use non-integer numbers. I want to try a Bayes' Theorem chart that uses just single digit Natural Numbers $\le 9$. To complete the ...
12k views

### How to explain that winning the lottery is not a 50/50 distribution?

When casually discussing with my 13 yo child about probabilities, he told me there is a 50% chance to win at the lottery To what I said no, there is a 1 chance over 90 million (I roughly estimated ...
17k views

### How to explain Monty Hall problem when they just don't get it

Talking to some friends, I was asked to explain the answer to the Monty Hall problem (see also here;) .... they were having some trouble because whoever explained it to them didn't do a very good job. ...
196 views

### Cautionary tales for Gaussians/the central limit theorem?

In any undergraduate course on probability, one of the fundamental results that is discussed is the central limit theorem. Apart from the interesting mathematics needed to prove the result (most often ...
100 views

### Transition into a non-explicit sample space world

This is one of the problem taunting me over years while explaining probability. In most of the high-school as well as graduate textbooks, there are at most very few lines to deal with this problem. ...
268 views

456 views

### “Probable” vs. “Likely”; Choosing the Appropriate Word

In some school textbooks, before introducing the probability as a number between $0$ and $1$, the words "likely", "More likely", "less likely" etc. are used to indicate the likelihood of an event. ...
675 views

### Why we mistaken coin toss to be an example of classical probability?

It is now well known that a random coin toss has 1/6000 probability of landing on its edge. So the out-dated model that a coin toss always land on either heads or tails with probability 1/2 is wrong. ...