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Created page with "'''Sampling with replacement''' is a method of taking a sample of the population in question. One takes the sample, then replaces the sample back into the population, then dra..."
'''Sampling with replacement''' is a method of taking a sample of the population in question. One takes the sample, then replaces the sample back into the population, then draws another sample.
===Example===
What is the probability of drawing four red cards in a row, with replacement?
Probability of drawing a red card: 26/52, or 1/2.
Probability of drawing four red cards in a row with replacement? 1/2<sup>4</sup>
==Sampling without replacement==
'''Sampling without replacement''' is much the same, except the sample is not returned to the population.
===Example===
What is the probability of drawing four red cards in a row, without replacement?
Probability of drawing a red card: 26/52
Probability of drawing four red cards? (26/52)*(25/51)*(24/50)*(23/49)
As we removed a card, we didn't replace it, so the population size went down.
[[Category:Probability and Statistics]]
===Example===
What is the probability of drawing four red cards in a row, with replacement?
Probability of drawing a red card: 26/52, or 1/2.
Probability of drawing four red cards in a row with replacement? 1/2<sup>4</sup>
==Sampling without replacement==
'''Sampling without replacement''' is much the same, except the sample is not returned to the population.
===Example===
What is the probability of drawing four red cards in a row, without replacement?
Probability of drawing a red card: 26/52
Probability of drawing four red cards? (26/52)*(25/51)*(24/50)*(23/49)
As we removed a card, we didn't replace it, so the population size went down.
[[Category:Probability and Statistics]]