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Marbles no replacement.
Probability with replacement we take a marble put it back into the bag and pick another one.
This is called probability without replacement or dependent probability.
When we sample without replacement and get a non zero covariance the covariance depends on the population size.
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Five marbles are selected at random without replacement from a jar containing four white marbles and six blue marbles.
In that case sampling with replacement isn t.
For example a marble may be taken from a bag with 20 marbles and then a second marble is taken without replacing the first marble.
A visual tutorial on how to calculate probability with and without replacement using marbles.
If the population is very large this covariance is very close to zero.
The sample space for the second event is then 19 marbles instead of 20 marbles.
What is probability without replacement.
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For example if we pick 2 marbles from a bag there are different possibilities of what we could do.
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One example uses with replacement and one example uses without replacement.
In each we specify either replacement the marbles go back into the bag after each pull or no replacement.