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- https://math.libretexts.org/Under_Construction/Purgatory/MAT_1320_Finite_Mathematics/06%3A_Probability/6.6%3A_Independent_EventsP(The card is a king | The card is a face card) ≠ 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) ≠ 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.
- https://math.libretexts.org/Courses/Los_Angeles_City_College/Math_230-Mathematics_for_Liberal_Arts_Students/07%3A_Probability/7.05%3A_Independent_EventsP(The card is a king | The card is a face card) ≠ 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 ver...P(The card is a king | The card is a face card) ≠ 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. Both solutions to Example \PageIndex8 are actually the same, except that in Solution 2 we delayed substituting the values into the equation until after we solved the equation for P(A∩B).
- https://math.libretexts.org/Courses/Community_College_of_Denver/MAT_1320_Finite_Mathematics_2e/08%3A_Probability/8.06%3A_Independent_EventsP(The card is a king | The card is a face card) ≠ 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) ≠ 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.
- https://math.libretexts.org/Courses/University_of_St._Thomas/Math_101%3A_Finite_Mathematics/02%3A_Probability/2.04%3A_Conditional_Probability_and_Independent_Events/2.4.02%3A_Independent_EventsP(The card is a king | The card is a face card) ≠ 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 ver...P(The card is a king | The card is a face card) ≠ 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. Both solutions to Example \PageIndex8 are actually the same, except that in Solution 2 we delayed substituting the values into the equation until after we solved the equation for P(A∩B).
