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.
Marbles no replacement.
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This video goes through 2 examples of probability.
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As then name says it is a probability where something is not replaced.
The sample space for the second event is then 19 marbles instead of 20 marbles.
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A visual tutorial on how to calculate probability with and without replacement using marbles.
For example if we pick 2 marbles from a bag there are different possibilities of what we could do.
When we sample without replacement and get a non zero covariance the covariance depends on the population size.
Probability with replacement we take a marble put it back into the bag and pick another one.
Five marbles are selected at random without replacement from a jar containing four white marbles and six blue marbles.
If the population is very large this covariance is very close to zero.
This is called probability without replacement or dependent probability.
One example uses with replacement and one example uses without replacement.
300 00 40 marbles no 2.