TA一脸恹恹地跟你说：这其实是一个非常深刻的哲学问题，一般被称作“概率的解释（interpretations of probability）”。“概率”这个在日常对话中看起来无害的概念，实际上会带来 …

This event has probability $0$, but it is not empty, which is what one might call a formal definition of "impossible." The underlying probability space is the set of possible ways to flip a coin …

Probability：用已知的（影响实验结果的）参数作出（能够预测实验结果的）函数，藉以预测实验的结果。 三、 概率（probability)和似然（likelihood)，都是指可能性，都可以被称为概率，但 …

The formula for computing a k-combination with repetitions from n elements is: $$\binom{n + k - 1}{k} = \binom{n + k - 1}{n - 1}$$ I would like if someone can give me a simple basic proof that a

Question: (a) How many three-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 if each digit can be used only once?

Out of the $1.88$ trillion total easy grids, this gives a probability of about $6\times10^{-8}$. So, very rare indeed! So, very rare indeed! Working out the probabilities for the bigger boards …

Nov 17, 2017 · More precisely, the probability of at least three people sharing a birthday is very close to $0.50$ if there are $87$ people in total (making the standard assumption of an i.i.d. …

$\begingroup$ The problem with your answer is that the probability of picking $3$ red balls isn't $\left( \frac{3}{12} \right)^3$ but rather it's $\frac{3}{12} \cdot \frac{2}{11} \cdot \frac{1}{10}$. …

May 28, 2021 · Performed using (1-Qx at that point in time) multiplied by the value preceding it, i.e. chaining these probabilities together (2) Calculate the probability of borrower 1 already …

Aug 11, 2022 · There are 2 red and 7 black marbles. Since the marbles are returned the probability a red marble is chosen any one time is 2/9 and the probability a black marble is …