import sys, random
from PyQt5.QtWidgets import QWidget, QApplication
from PyQt5.QtGui import QPainter, QColor, QPen
from PyQt5.QtCore import Qt
class Example(QWidget):
    def __init__(self):
        super().__init__()
        self.initUI()
    def initUI(self):
        self.setGeometry(300, 300, 280, 170)
        self.setWindowTitle('Points')
        self.show()
    def paintEvent(self, e):
        qp = QPainter()
        qp.begin(self)
        self.drawPoints(qp)
        qp.end()
    def drawPoints(self, qp):
        qp.setPen(Qt.red)
        size = self.size()
        for i in range(1000):
            x = random.randint(1, size.width() - 1)
            y = random.randint(1, size.height() - 1)
            qp.drawPoint(x, y)
if __name__ == '__main__':
    app = QApplication(sys.argv)
    ex = Example()
    sys.exit(app.exec_())

 >>> import random
>>> def get_xy(n1, n2, n):
...     return ( random.randint(n1, n2) for _ in range(n) )
...
>>> list(zip(get_xy(0, 10, 10), get_xy(0, 10, 10)))
[(1, 0), (3, 2), (8, 4), (9, 5), (2, 3), (9, 7), (0, 2), (6, 5), (8, 9), (5, 7)]
>>> list(zip(get_xy(-10, 0, 10), get_xy(0, 10, 10)))
[(-4, 6), (-3, 2), (-9, 4), (-6, 4), (-7, 10), (-10, 10), (-2, 2), (-4, 4), (-6, 8), (-1, 4)]
>>> list(zip(get_xy(-10, 0, 10), get_xy(-10, 10, 10)))
[(-7, 9), (-6, 4), (-10, -1), (-4, 8), (-5, 7), (-7, 10), (-1, 10), (-4, 0), (0, -7), (-1, 3)]
>>> list(zip(get_xy(0, 10, 10), get_xy(-10, 10, 10)))
[(7, -9), (1, -2), (0, 4), (1, 3), (9, -8), (7, 10), (3, 5), (2, 9), (2, 0), (0, -2)]