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6.6: Independent Events
https://math.libretexts.org/Under_Construction/Purgatory/MAT_1320_Finite_Mathematics/06%3A_Probability/6.6%3A_Independent_Events
\(P\)(The card is a king | The card is a face card) \(\neq\) \(P\)(The card is a king) In other words, the additional information, knowing that the card selected is a face card changed the probability...\(P\)(The card is a king | The card is a face card) \(\neq\) \(P\)(The card is a king) In other words, the additional information, knowing that the card selected is a face card changed the probability of obtaining a king. \(P\)(The card is a king | A red card has shown) = \(P\)(The card is a king) Whenever the probability of an event \(E\) is not affected by the occurrence of another event \(F\), and vice versa, we say that the two events \(E\) and \(F\) are independent.
8.6: Independent Events
https://math.libretexts.org/Courses/Community_College_of_Denver/MAT_1320_Finite_Mathematics_2e/08%3A_Probability/8.06%3A_Independent_Events
\(P\)(The card is a king | The card is a face card) \(\neq\) \(P\)(The card is a king) In other words, the additional information, knowing that the card selected is a face card changed the probability...\(P\)(The card is a king | The card is a face card) \(\neq\) \(P\)(The card is a king) In other words, the additional information, knowing that the card selected is a face card changed the probability of obtaining a king. \(P\)(The card is a king | A red card has shown) = \(P\)(The card is a king) Whenever the probability of an event \(E\) is not affected by the occurrence of another event \(F\), and vice versa, we say that the two events \(E\) and \(F\) are independent.

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