Questions tagged [elementary-probability]
65 questions
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What is the chance that a 1 in 1000 event will happen within the first 500 tries?
Say you have a thousand-sided die. You win if the die lands on 27, so a one in one thousand chance. I was curious as to what the chances are of winning if you roll the die 500 times. My gut told me that the odds were in your favor. I computed…
thumbtackthief
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How to calculate the following probability?
There are $N$ coupons numbered $1,2,\dots,N$ in a box. If $n$ coupons are taken at random, what is the probability that $M$ will be the highest number on a ticket if the drawings are made with replacements?
The answer can be…
user587389
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Probability of an element in continous sample space
Let us consider a continuous sample space $S$ of some random experiment;
Is it true that $p(\{e\}) = 0$ for all $e \in S$ even in the case of non-uniform probability function?
hanugm
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The practical significance of the probability measure function for continuous random variables
In the case of discrete random variables, it is quite clear that probability measure (or pmf) is quite useful since it gives the direct probability value.
But in case of a continuous random variable, in my opinion, the practicality of probability…
hanugm
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A box contains $n$ white and $n$ black pebbles. $r$ pebbles are taken out. Probability that the chosen pebble is black?
A box contains $n$ white and $n$ black pebbles. A fair sided die with $n$ sides(numbers from $1$ to $n$) is thrown and the number you get, let's call it $r$, is how many pebbles are taken out randomly.
One pebble is chosen randomly from the box,…
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