conditional probability · JAVA · Probability

Intro to Probability w/ JAVA (tutorial 02) – Independence & Conditional Independence

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00:00 demo the application
00:20 info about the various cards in a standard deck of 52 cards
02:00 check if Rank=ace event is independent from Color=red event
03:30 check if Rank=10 event is independent from Type=face event
04:19 check if Rank=king event is independent from Suit=spade event, given that Color=black event has occurred
05:50 what are independent and conditionally independent events
06:00 when are 2 events independent
07:00 when are 2 events conditionally independent given a third event
08:08 how to generalize event independence check to more than 2 events
09:30 can independent events be disjoint?
09:35 does conditional independence imply independence and vice versa
19:15 test run the application
19:30 check if Rank=king event is independent from Type=number event
20:50 check if Rank=king event is independent from Suit=heart event, given that Type=face event has occurred