# Questions tagged [dice]

For questions on dice, small throwable objects with multiple resting positions, used for generating random numbers. This makes dice suitable as gambling devices for games like craps or for use in non-gambling tabletop games.

1,741 questions
Filter by
Sorted by
Tagged with
34 views

### Finding the threshold at which the second player should re-roll (expected value game)

Player 1 rolls a 10 sided fair die. Player 2 rolls a 20 sided fair die. Player 2 is allowed to reroll a second time, but is not allowed to look at player 1's roll before deciding whether they want to ...
23 views

### help me resolve this probability case [closed]

1 A box contains 50 dices, half of them are fair, the others are not. Among the latter ones the face 1 appears with probability 1/2, while the other faces appear with probability 1/10. We randomly ...
36 views

### Best strategy in dice game if you can keep more than one number

The question is similar to the original one, The expected payoff of a dice game, but now we can keep $m>1$ numbers (dice). Formally, let $X_1,...,X_n\sim \text{Unif }[0,1]$ be a sequence of i.i.d ...
243 views

### Getting a negative variance for the sum of dice rolling

I'm trying to find what I did wrong. If $X$ signifies the sum of what you get from rolling a regular die (1-6), 100 times and $X_i$ for a single roll. Then: E\left[X\right]=\sum_{i=1}^{100}\frac{7}{...
72 views

### Calculate the probability of a “good” dice roll

As part of a bigger game-theory problem, I've been trying to solve a rather simple probability question, and I seem to be getting the wrong answers. Here's the problem: Dice are rolled to determine a ...
12 views

46 views

### Expected value of dice game — Can Wald's equality be used?

This is somewhat related to Expected payoff of dice game, where the problem is: You roll a fair $6$-sided die. For each roll, you're paid the face value. The game stops when you roll a $1,2,3$. If ...
You roll a fair $6$-sided die. For each roll, you're paid the face value. The game stops when you roll a $1,2,3$. If you roll a $4,5,6$, you can roll again and keep accumulating payments. There are ...