If we throw 8 dice and take the sum of the highest 4 outcomes, What is the probability that the sum equals to 24? I think in order to get sum 24, at least there are 4 times 6s among 8 dices. But how can i get the equation for this problem?
2026-03-26 06:19:19.1774505959
Dice sums with 6 dice
71 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
1
There are 1 best solutions below
Related Questions in PROBABILITY-THEORY
- Is this a commonly known paradox?
- What's $P(A_1\cap A_2\cap A_3\cap A_4) $?
- Another application of the Central Limit Theorem
- proving Kochen-Stone lemma...
- Is there a contradiction in coin toss of expected / actual results?
- Sample each point with flipping coin, what is the average?
- Random variables coincide
- Reference request for a lemma on the expected value of Hermitian polynomials of Gaussian random variables.
- Determine the marginal distributions of $(T_1, T_2)$
- Convergence in distribution of a discretized random variable and generated sigma-algebras
Related Questions in DICE
- Charting the probability of die values equal to or greater than a variable with N dice
- Probability of a dice board game
- Probability of rolling at least one snake eyes (pair of two ones) with four dice, rolled 3 times
- Probability of rolling x dice
- Is this a fair game (three players throw dice)?
- Probability of rolling ≥ $x$ with $k$ out of $m$ $n$-sided dice
- Puzzling Dice Roll Probability Problem
- Probability: In n rolls of a fair die
- Probability of rolling a $6$ with $2$ dice (that both have a second $6$)
- Random number of dice with random number of faces-Probability of getting a max number provided
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?
This solution does not require any knowledge of probability distributions. However I would suggest looking into it as it makes the problem much easier.
You need at least 4 sixes. Let's find the probability of obtaining exactly 4 sixes and you can do the rest. How many ways can you get exactly 4 sixes out of 8 dice? $8\choose 4$. What is the probability associated with each of these events? $(\frac 16)^4×(\frac56)^{8-4}$. Thus the probability of getting exactly 4 sixes is $8\choose 4$$(\frac16)^4(\frac56)^4$.
Find the probabilities of obtaining exactly 5,6,7,8 sixes in a similar fashion. Add them up. It should give you the answer.