This is for your entertainment only, anything you see here will not be assessed unless we cover it in class anyway.

Diversion 4: Conditional probability, independence

Apologies, this usually runs under the name "Secretary problem":

 
Mathematical Way to Choose a Toilet - Numberphile

 
 
  Independent coinflips: anything is possible... just wait long enough:

 
Flipping 10 heads in a row: Full video - singingbanana

 
 
  Which comes sooner, Heads Heads or Heads Tails?

 
Consecutive Coin Flips - Numberphile

 
 
  ... and make a game out of this (and win it):

 
Penney's Game - Numberphile

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