0
votes
2answers
23 views

Probability of 3 dices

Been looking through past exam papers and came across this question: Three fair dices are rolled. The probability that all three dices show 5 is 1/216. Is this true?
3
votes
1answer
78 views

Expected duration of a die game

In a 2 person game, the player who first obtains a $6$ wins. I'm trying to determine the expected number of die rolls needed before a winner is determined. (One turn consists of two die rolls, ...
0
votes
0answers
17 views

Roll a die until the nth time T that a certain number shows up.

So if we are asked to roll a fair die until the nth time T that a certain number shows up, what would be the probability distribution of T? Example: Roll a fair die until a six shows up three times ...
0
votes
1answer
16 views

What is the expectation of the first time dice-rolls Z and Z+1 are similar?

We roll a dice. Let $Z=$ the first time the rolls $Z$ and $Z+1$ are similar. What is $E[Z]$ ? What is $E[Z^2]$ ? The problem sounds unnatural to me because i'm asked about a roll $(Z+1)$ that ...
0
votes
3answers
110 views

How can I linearly decrease chance?

Suppose there are 10 different people, each holding 1 lottery ticket, and I give each of them 10% chance of becoming the 'winner'. Now let's say one of those 10 people (I dont know which one) ...
0
votes
1answer
25 views

3 dices probability that number 5 comes up on exactly two of the three dice?

I roll three different loaded dice. For the first die the probability of getting a 5 is 0.7, for the second die the probability of getting a 5 is 0.48, and for the third die the probability of getting ...
3
votes
3answers
123 views

Trying to work out the probabilities of a dice game I used to play

At college, my friends and I would sometimes waste time playing a game with dice. We would roll 25 dice, pick out all the dice that landed on a 6, then roll the rest. This would carry on until all the ...
0
votes
2answers
72 views

Dice sum probability

Simulate two separate dice (use random numbers with the appropriate range) being rolled 10 times. What are the percentage of rolls that resulted in a sum of 7, a sum of 2 and a sum of 11. I came ...
1
vote
2answers
70 views

Probability of rolling a $6$ between $90$ and $110$ times when rolling a die $600$ times

Show that if you roll a fair die $600$ times, then with probability at least $1/6$ you will get the roll $6$ between $90$ and $110$ times. This is what I have so far Let $E(x) = 100 \Rightarrow ...
2
votes
1answer
2k views

Probability Distribution of Rolling Multiple Dice

What is the function for the probability distrabution of rolling multiple (3+) dice. The function is a bell curve but I can't find the actual function for the situation. Example, what is the function ...
0
votes
4answers
73 views

Probability of $X$ out of $N$ dice landing on $M$

The problem is as follows: We have $N$ dice and we throw them on a table. What is the probability that $M$ will fall $X$ times? Specific example: We have $10$ dice and we throw them on a table. What ...
4
votes
1answer
91 views

Dice game modelling: Lose everything on “3”, double everything on “1” or “6”

I was recently playing a quite easy dice game: You trow a fair dice: if you get a "3" the next player continues, if you get something else it is up to you to continue. If you continue and you throw ...
3
votes
1answer
217 views

what is probability of throwing $n$ dice $m$ times to get at least one 6 for each dice

We have $n$, 6-face fair dice. At each time $n$ dice are thrown independently. I want to calculate the probability of number of times we should throw dices before having at least one 6 from each of ...
1
vote
1answer
144 views

Probability of getting any number if I roll the die 4 times.

We have a question to investigate any game between two players that have dice, when the dice are rolled $4$ times what is the probability of getting any number say $4$ or $5$.. note that the highest ...
8
votes
3answers
879 views

“Go-first” dice for $N$ players

I'm interested in sets of dice that can be used to determine who "goes first" (hence the name) in an $N$-player game; more generally, I want to determine a complete ordering of the players with a ...
1
vote
0answers
110 views

Boggle dice set letter distribution algorithm [duplicate]

Possible Duplicate: Boggle letter probability What algorithm have the creators of the word game Boggle used to come up with these dice sets? ...