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After much dice rolling you finally end up accepting a candidate: 'summon frog'. …

This is actually a simple illustration you can use to teach people about the shortcomings of the MAPE - just hand your attendees a few dice and have them roll. … Percentage Errors Can Ruin Your Day (and Rolling the Dice Shows How). Foresight: The International Journal of Applied Forecasting, 2011, 23, 21-29 Kolassa, S. & Schütz, W. …

An example Standard examples concern outcomes of tossing coins and dice and drawing playing cards. …

There are 400 possibilities and 20 of them, each occuring with probability $\frac{1}{400}$, have the guess equal to the outcome. So the total probability of having the guess equal to the outcome is $2 …

Imagine I am rolling a die with 15 faces, one of which is labelled "B" (for bus) and 14 labelled "X" for the total absence of bus that minute (fair 30 sided dice exist, so I could label 2 of the faces … I have a 60-sided die I roll every fifteen seconds (again, with one "B" face); now imagine I had a 1000-sided die I rolled every 0.9 seconds (with one "B" face; or more realistically, three 10-sided dice …

Note: This is an answer to the initial question, rather than the recurrence. If she rolls a 4, then it essentially doesn't count, because the next roll is independent. In other words, after rolling a …

I was confused about the differences between the F1 score, Dice score and IoU (intersection over union). By now I found out that F1 and Dice mean the same thing (right?) … F1 / Dice: $$\frac{2TP}{2TP+FP+FN}$$ IoU / Jaccard: $$\frac{TP}{TP+FP+FN}$$ Are there any practical differences or other things worth noting except that F1 weights the true-positives higher? …

The Black Swan idea is good and the attack on the ludic fallacy (seeing things as though they are dice games, with knowable probabilities) is good but statistics is outrageously misrepresented, with the …

When all variables are nominal (also including here dichotomous with symmetric significance: "this" vs "that") then the coefficient is the Dice matching coefficient that you obtain from your nominal variables …

You can see it as tracking whether the dice roll $m$ is the same number as the number of the dice roll $m-1$ (which has 1/6-th probabilty). … In this Q&A the alternative question is solved as a combinatorial problem: How many ways can we roll the dice $n$ times without the number '6' occuring $k$ or more times in a row. …

It's like rolling a bunch of dice, rather than a single die. 95% is an arbitrary cutoff, and coincides almost exactly with two standard deviations. …

Fans of role-playing games will have encountered more exotic dice, for example tetrahedral dice to sample uniformly from $\{1,2,3,4\}$, while with a spinner or roulette wheel one can go further still. … Galton recommended to prepare three dice of type I, two of II and one of III. …

My friends are in a bit of an argument over Dungeons & Dragons. My player managed to guess the outcome of a D20 roll before it happened, and my friend said that his chance of guessing the number was 1 …

It could be different if the number represented some kind of quantity, like rolling dice and advancing a game piece that many spots, but there’s nothing quantitative going on. …

Let's simulate it! set.seed(2021) R <- 10000 d <- 20 guess <- sample(seq(1, d, 1), R, replace = T) roll <- sample(seq(1, d, 1), R, replace = T) length(which(guess == roll))/R I get that about $1/20$ …