Hypergeometric Distribution Calculation in Libreoffice

In summary, the HYPGEOM.DIST command in LibreOffice calculates the probability of achieving a certain number of successes in a random sample, given the size of the sample, the number of possible successes in the total population, and the size of the total population. The optional parameter Cumulative allows for the calculation of either the probability density function or the cumulative distribution function. In the given scenario, the command is used to calculate the probability of player two flipping a card greater than six from a deck of 52 cards, with 10 cards being available and 4 cards being larger than six. This results in a probability of approximately 35.8%. However, if player two flips over a single card, a hypergeometric distribution is
  • #1
Euler2718
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Given this libreoffice command:

HYPGEOM.DIST(X; NSample; Successes; NPopulation; Cumulative)

>X is the number of results achieved in the random sample.

>NSample is the size of the random sample.

>Successes is the number of possible results in the total population.

>NPopulation is the size of the total population.

>Cumulative : 0 or False calculates the probability density function. Other values or True calculates the cumulative distribution function.

Consider: Two players have 10 cards each, face down. Player one flips a card over and gets a 6. What's the probability of player two flipping a card greater than six.

Is this the right way to use the command:

=HYPGEOM.DIST(1,10,4,52,0)

It gives ~35.8%. Just wondering if I was interpreting the question and the command right.

Edit: I assumed suits are irrelevant and repetition is allowed.
 
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  • #2
If player 2 flips over a single card, you don't need a hypergeometric distribution. You just need the number of cards available and the number of cards larger than 6. It does not matter how many cards are face down, or not distributed at all.

Is this a homework question?
 
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  • #3
mfb said:
If player 2 flips over a single card, you don't need a hypergeometric distribution. You just need the number of cards available and the number of cards larger than 6. It does not matter how many cards are face down, or not distributed at all.

Is this a homework question?

Thanks for the insight.

No, it's not homework. I've just been curious with the probability of cards as of late and I'm not too good at probability.
 

1. What is the Hypergeometric Distribution?

The Hypergeometric Distribution is a probability distribution that is used to calculate the probability of obtaining a certain number of successes in a specific sample, given a known population size and number of successes in the population. It is often used in statistical analysis to determine the likelihood of obtaining a certain outcome in a random experiment.

2. How is the Hypergeometric Distribution calculated in Libreoffice?

In Libreoffice, the Hypergeometric Distribution can be calculated using the HYPGEOM.DIST function. This function takes four arguments: the number of successes in the population, the sample size, the number of successes in the sample, and a logical value indicating whether the function should return the cumulative probability or the probability density function. The function returns the probability of obtaining the specified number of successes in the sample.

3. What is the difference between the Hypergeometric Distribution and the Binomial Distribution?

The Hypergeometric Distribution and the Binomial Distribution are both probability distributions that are used to calculate the likelihood of obtaining a certain number of successes in a random experiment. However, the Hypergeometric Distribution is used when sampling without replacement, meaning that the probability of success changes with each sample. The Binomial Distribution, on the other hand, is used when sampling with replacement, meaning that the probability of success remains constant for each sample.

4. What are the assumptions of the Hypergeometric Distribution?

The Hypergeometric Distribution makes the following assumptions:

  • The sample is a random sample from the population.
  • The population is finite.
  • The population can be divided into two categories (successes and failures).
  • The outcomes are independent of each other.

5. How can the Hypergeometric Distribution be applied in real-life situations?

The Hypergeometric Distribution can be applied in various real-life situations, such as:

  • Determining the probability of winning a lottery with a limited number of tickets.
  • Calculating the likelihood of getting a certain number of defective products in a batch.
  • Evaluating the chances of selecting a certain number of women for a study from a population with a known gender ratio.
  • Predicting the probability of obtaining a specific number of black cards in a deck of playing cards.

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