0
votes
2answers
41 views

Rolling a balanced die 10 times

A balanced die is rolled 10 times by 5 different people. What is the probability that at least two people rolled exactly 4 twos, 3 fours and 3 sixes? So I know I'm looking for $P(X\ge 2)= ...
0
votes
1answer
61 views

Roll 2 dice adding and rolling one die, probability of being equal

Roll two dice, add the results, call the number x. Roll one die call that number y. What is the probability that x and y are equal? Help please.
3
votes
1answer
86 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, ...
4
votes
3answers
82 views

Probability of rolling a “1” on a die conditioned on when all rolls are different.

So I have this problem: I am rolling a six sided die 3 times. Conditioned on the rolls all being different, what's the probability at least one die is a "1" So I worked it out like this: ...
1
vote
4answers
5k views

If I roll two fair dice, the probability that I would get at least one 6 would be…

11 out of 36? I got this by writing down the number of possible outcomes (36) and then counting how many of the pairs had a 6 in them (1,6) (2,6) (3,6) (4,6) (5,6) (6,6) (6,5) (6,4) (6,3) (6,2) (6,1). ...
-1
votes
2answers
414 views

If you roll four fair dice, what is the probability that you will end up with two 1's and two 3's?

Can someone help me with this? I'm completely stumped on how to go about it and no one I know can help. I just need to be shown how to do it.
4
votes
4answers
489 views

Throwing dice: Probability Total is Divisible by 3

Suppose I throw a fair die $1995$ times. What is the probability that the total is divisible by 3? I tried to attack this problem inductively, storing the total in a variable $t \mod 6$, and ...
0
votes
1answer
356 views

Statistics question on probability

Suppose that one hundred fair dice are tossed. Estimate the probability that the sum of the faces showing exceeds 370. Include a continuity correction in your analysis.
3
votes
5answers
6k views

Probability of rolling three dice without getting a 6

I am having trouble understanding how you get $91/216$ as the answer to this question. say a die is rolled three times what is the probability that at least one roll is 6?
2
votes
2answers
578 views

Probability that the sum of all values of 5 pairs of dice will be between 30 and 40

I'm trying to solve a question that asks: If 5 pairs of fair dice are rolled, approximate the probability that the sum of the values obtained is between 30 and 40 inclusive. My approach so ...
2
votes
2answers
990 views

Roll six dice. Probability of at least one pair.

I roll 6 fair dice. What is the probability that at least one pair shows up?
0
votes
2answers
206 views

Sum of 3 loaded dice

I am given 3 loaded dice $D_1$, $D_2$ and $D_3$ and their probability tables $P(D_i = k), 1 \leq k \leq 6$. I ought to write an algorithm that computes $P(\text{Sum} \mid D_1)$, the sum of all three ...
0
votes
1answer
364 views

Are X and Y independent?

We roll two dice once. Let X denote the number of 1’s and Y the number of 6’s obtained. Are X and Y independent?
1
vote
1answer
121 views

Probability on a Die

The normal probability of a number in a regular die (6 faces) is $\dfrac{1}{6}$. Let in an addicted [that is, "loaded"] die, the probability of a even number (2, 4 and 6) be twice the normal ...
1
vote
1answer
2k views

Poker dice probability

I am working on a maths excersice and got stuck on this question where I need to calculate the probability of poker dice. The game poker dice is played with 5 dice. It's possible to get one of the ...
2
votes
2answers
211 views

Two combinatorics problems. I'm not 100% confident in my answers

These are two problems from my combinatorics assignment that I'm not quite confident in my answer. Am I thinking of these the right way? Problem 1: On rolling 16 dice. How many of the $6^{16}$ ...
6
votes
1answer
114 views

Bounds for die roll

Given a $n$-sided fair die, show that the probability $P$ that all faces from $1$ to $11$ show when doing $3n$-rolls is bounded by $1 - 11 \cdot \frac{(n-1)^{3n}}{n^{3n}} \leq P \leq 1 - 11 \cdot ...