What is the probability of a mated triple with three sexes in sea-creatures?

In summary, a new lifeform with three indistinguishable sexes has been discovered in the sea. The problem at hand involves calculating the probability of obtaining a "mated triple" with N specimens captured by a robot, using conditional probabilities and counting methods such as Baye's Theorem and Law of Total Probabilities. Assuming the genders are equally likely, the first step would be to calculate the probability that all N creatures belong to two identical sexes.
  • #1
smk037
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Homework Statement



A new lifeform has been discovered in the sea. In particular, these sea-creatures
come in THREE sexes, which are indistinguishable (except by other sea-creatures). If A robot captures N specimens, what is the probability these
chocies will allow a “mated triple” with its promise of more little sea-creatures to come?


Homework Equations


This homework is supposed to be on conditional probabilities and counting methods, so I suppose Baye's Theorem and Law of Total Probabilities would be useful


The Attempt at a Solution


Unfortunately, I truly have no idea where to begin this problem.
Any ideas?
 
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  • #2
I suspect you are to assume the genders are equally likely in the sea-creature population.

I would first try this indirectly but trying to calculate the probability that all N creatures belong to two identical genders.

--Elucidus
 

Related to What is the probability of a mated triple with three sexes in sea-creatures?

What is a probability question?

A probability question is a question that involves predicting the likelihood of a certain event occurring. It is often used in mathematics, statistics, and other sciences to analyze data and make informed decisions.

How do you calculate probability?

Probability is typically calculated by dividing the number of favorable outcomes by the total number of possible outcomes. This can be represented as a fraction, decimal, or percentage. For example, if you roll a six-sided die, the probability of rolling a 3 would be 1/6 or 0.1667 or 16.67%.

What is the difference between theoretical and experimental probability?

Theoretical probability is based on mathematical calculations and assumes that all outcomes are equally likely. Experimental probability is based on actual observations and data, and may differ from theoretical probability if the sample size is small or if there are other factors at play.

How is probability used in real life?

Probability is used in a variety of ways in real life, such as predicting the weather, estimating the risk of a certain disease, and determining the chances of winning a game of chance. It is also used in decision making, risk assessment, and statistical analysis.

What is the difference between independent and dependent events?

In independent events, the outcome of one event does not affect the outcome of another event. In dependent events, the outcome of one event is influenced by the outcome of another event. For example, flipping a coin twice is an example of independent events, while drawing two cards from a deck without replacement is an example of dependent events.

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