https://www.youtube.com/watch?v=6gDP4oltgPE

notes do a summary on the video of the main points in the vid

Explanation:

If A and B are independent events, P(A and B) = P(A) • P(B).

If A and B are dependent events, and A occurs first, P(A and B) = P(A) • P(B,once A has occurred) ... and is written as ... P(A and B) = P(A) • P(B|A)

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Video talks about conditional probability and independence.

Eg. P(R) = Probability of selecting red card

P(F) = Probability of selecting a face card.

Now they are talking about complete deck of cards.

We have 4 suites 13 cards of each suite.

26 are red, 26 are black.

Probability of picking a red card: 26/52 = ½ = 0.5

Similarly,

Their are 3 face card in every suite:

Total number of face cards = 4 x 3 = 12

Probability of picking a face card : 12 / 52 = .23

P(R|F) = Probability of red card being a face card means we know we have a face card and further it should be a red card.

Formula used is:

List all the face cards: king, queen , Jack.

We have 4 suites

So there are 12 cards in all.

Probability of a random card being red = 6/12 = 0.50

P(F|R) = P(Fintersection R) / Probability of R

= ( 6/26) = 0.23

P(R) = P ( R|F) = 26 / 52 AND 6/12 are same because these makes independent event.

Similarly there are dependent events, in which we need to consider the common cases as well.

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