156  l11 : The Borel-Cantelli Lemmas

Measure Theoretic Probability - Jem Corcoran

Published

April 17, 2026

Keywords

measure theory, probability, sigma algebra, outer measure, lemmas

Video 156.1: Lesson 11: The Borel-Cantelli Lemmas!

156.1 Lesson map

This lesson proves the next three lemmas from the extension roadmap.

  • Recap:
  • Borel-Cantelli 1
  • Borel-Cantelli 2

me with alternative without math.

replace with a caption.
Figure 156.1: And me with a longer caption that is more descriptive of the image, and can replace the image if it doesn’t load.

me with alternative without math.

replace with a caption.
Figure 156.2: And me with a longer caption that is more descriptive of the image, and can replace the image if it doesn’t load.
me with alternative without math.
Figure 156.3

me with alternative without math.

replace with a caption.
Figure 156.4: And me with a longer caption that is more descriptive of the image, and can replace the image if it doesn’t load.
me with alternative without math.
Figure 156.5

me with alternative without math.

replace with a caption.
Figure 156.6: And me with a longer caption that is more descriptive of the image, and can replace the image if it doesn’t load.

me with alternative without math.

replace with a caption.
Figure 156.7: And me with a longer caption that is more descriptive of the image, and can replace the image if it doesn’t load.
me with alternative without math.
Figure 156.8

me with alternative without math.

replace with a caption.
Figure 156.9: And me with a longer caption that is more descriptive of the image, and can replace the image if it doesn’t load.
me with alternative without math.
Figure 156.10
me with alternative without math.
Figure 156.11

me with alternative without math.

replace with a caption.
Figure 156.12: And me with a longer caption that is more descriptive of the image, and can replace the image if it doesn’t load.

me with alternative without math.

replace with a caption.
Figure 156.13: And me with a longer caption that is more descriptive of the image, and can replace the image if it doesn’t load.
me with alternative without math.
Figure 156.14

me with alternative without math.

replace with a caption.
Figure 156.15: And me with a longer caption that is more descriptive of the image, and can replace the image if it doesn’t load.
me with alternative without math.
Figure 156.16

me with alternative without math.

replace with a caption.
Figure 156.17: And me with a longer caption that is more descriptive of the image, and can replace the image if it doesn’t load.

me with alternative without math.

replace with a caption.
Figure 156.18: And me with a longer caption that is more descriptive of the image, and can replace the image if it doesn’t load.