Neaten-up and extend the examples in the random module docs.
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@ -364,25 +364,29 @@ Basic examples::
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Simulations::
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# Six roulette wheel spins (weighted sampling with replacement)
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>>> # Six roulette wheel spins (weighted sampling with replacement)
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>>> choices(['red', 'black', 'green'], [18, 18, 2], k=6)
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['red', 'green', 'black', 'black', 'red', 'black']
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# Deal 20 cards without replacement from a deck of 52 playing cards
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# and determine the proportion of cards with a ten-value (i.e. a ten,
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# jack, queen, or king).
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>>> # Deal 20 cards without replacement from a deck of 52 playing cards
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>>> # and determine the proportion of cards with a ten-value
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>>> # (a ten, jack, queen, or king).
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>>> deck = collections.Counter(tens=16, low_cards=36)
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>>> seen = sample(list(deck.elements()), k=20)
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>>> print(seen.count('tens') / 20)
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>>> seen.count('tens') / 20
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0.15
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# Estimate the probability of getting 5 or more heads from 7 spins
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# of a biased coin that settles on heads 60% of the time.
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>>> n = 10000
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>>> cw = [0.60, 1.00]
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>>> sum(choices('HT', cum_weights=cw, k=7).count('H') >= 5 for i in range(n)) / n
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>>> # Estimate the probability of getting 5 or more heads from 7 spins
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>>> # of a biased coin that settles on heads 60% of the time.
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>>> trial = lambda: choices('HT', cum_weights=(0.60, 1.00), k=7).count('H') >= 5
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>>> sum(trial() for i in range(10000)) / 10000
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0.4169
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>>> # Probability of the median of 5 samples being in middle two quartiles
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>>> trial = lambda : 2500 <= sorted(choices(range(10000), k=5))[2] < 7500
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>>> sum(trial() for i in range(10000)) / 10000
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0.7958
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Example of `statistical bootstrapping
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<https://en.wikipedia.org/wiki/Bootstrapping_(statistics)>`_ using resampling
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with replacement to estimate a confidence interval for the mean of a sample of
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