動画検索
関連広告
検索結果
The definition of independence, showing what that means in terms of conditional probability, and some hand-waving discussion of what independence means.
Very simple examples (P(A) = x, P(B) = y, etc.).
Die rolling examples.
Discussion of the fact that if A and B are independent, so are (A and Bc), (Ac and B), and (Ac and Bc), including a hand-waving justification. The previous example involved a lead-in to this. (The hand-waving is legit happening behind the scenes.)
Visual illustration of independence.
Playing card examples.
Discussion of how we sometimes *assume* events are independent (e.g. heads on first toss of a fair coin, heads on second toss), and how this is an *assumption*, and not something that can be proven mathematically (despite what you might see elsewhere).
Discussion of how the term "independent" can have a different meaning in everyday English compared to its usage in probability, and how that is sometimes a cause for confusion.
Independent events
Probability calculation
Probability of selecting a red marble
Probability of getting a blue marble
Probability of getting a green marble
Probability of a red marble on a second try
Summary of dependent events
What is the probability of selecting 2 blue marbles with replacement?
Probability of selecting 2 green marbles without replacement