New submission from FH:

Upon inspection, random.randint(a,b) does not include the endpoint b, contrary 
to documentation, and contrary to the argumentation in Issue7009.

To see this, run e.g.
sum(np.random.randint(0,1,1000))

which will return 0 repeatedly (statistically very unlikely). I tried both on 
Kubuntu 14.04/python 2.7 and pythoneverwhere.org

Within random.py, randint is (in both 2.7 and 3.5) implemented as 

def randint(self, a, b):
    """Return random integer in range [a, b], including both end points.
    """
    return self.randrange(a, b+1)

which falsely seems to include the endpoint (as randrange excludes the 
endpoint). However, upon running it does not.

----------
components: Library (Lib)
messages: 229765
nosy: georg.brandl, orsenthil, sciencebuggy
priority: normal
severity: normal
status: open
title: random.randint does not include endpoint
type: behavior
versions: Python 2.7

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Python tracker <rep...@bugs.python.org>
<http://bugs.python.org/issue22686>
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