# Binomial Distrubition/Die rolling Question.

• derek10rr2
In summary, to find the probability of rolling at least 2 "sixes" in 6 rolls of a balanced die, you can use the Binomial Formula with the probability of success (rolling a six) being 1/6, the number of trials being 6, and the number of successes being 2. This will give you the probability of rolling exactly 2 "sixes." To find the probability of rolling at least 2 "sixes," you can add the probabilities of rolling 2, 3, 4, 5, or 6 "sixes."
derek10rr2
How to Find the Probability of rolling at least 2 "sixes" in 6 rolls of a balanced die.

I am trying to solve using the Binominal Formula, P(X = r) = nCr p r (1-p)n-r

But am not really sure what the probability rates for success and failure should be or how to compute it.

Thanks.

derek10rr2 said:
How to Find the Probability of rolling at least 2 "sixes" in 6 rolls of a balanced die.

I am trying to solve using the Binominal Formula, P(X = r) = nCr p r (1-p)n-r

But am not really sure what the probability rates for success and failure should be or how to compute it.

Thanks.

p(S)=1/6 n=6 r=2 I assume in your formula you mean: $$p^r (1-p)^{n-r}$$

Last edited:

## What is the Binomial Distribution?

The Binomial Distribution is a statistical probability distribution that describes the likelihood of a certain number of successes in a fixed number of independent trials, given a specific probability of success for each trial.

## How is the Binomial Distribution related to die rolling?

The Binomial Distribution can be used to model the probability of rolling a specific number on a die, as each roll can be considered an independent trial with a fixed probability of success (rolling the desired number).

## What are the characteristics of a Binomial Distribution?

A Binomial Distribution is characterized by the number of trials, the probability of success for each trial, and the number of successes desired. It is also a discrete distribution, meaning the possible outcomes are countable, and the trials are independent of each other.

## How is the Binomial Distribution formula calculated?

The formula for the Binomial Distribution is P(x) = (nCx) * (p^x) * (q^(n-x)), where n is the number of trials, x is the number of successes, p is the probability of success, and q is the probability of failure (q = 1-p).

## What are some real-world applications of the Binomial Distribution?

The Binomial Distribution is commonly used in fields such as finance, marketing, and quality control to model the probability of success or failure in a given situation, such as the success rate of a marketing campaign or the likelihood of a product defect. It is also used in genetics to predict the outcomes of genetic crosses and in sports analytics to analyze player performance and predict game outcomes.

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