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11.5: Independent Events
https://stats.libretexts.org/Under_Construction/Purgatory/FCC_-_Finite_Mathematics_-_Spring_2023/11%3A_Probability/11.05%3A_Independent_Events
$P$ (The card is a king | The card is a face card) $\neq$ $P$ (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) $\neq$ $P$ (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 $\PageIndex{8}$ are actually the same, except that in Solution 2 we delayed substituting the values into the equation until after we solved the equation for $P(A \cap B)$ .
11.5: Independent Events
https://stats.libretexts.org/Courses/Fresno_City_College/New_FCC_DS_21_Finite_Mathematics_-_Spring_2023/11%3A_Probability/11.05%3A_Independent_Events
11.5: Independent Events
https://stats.libretexts.org/Sandboxes/JolieGreen/Finite_Mathematics_-_Spring_2023_-_OER/11%3A_Probability/11.05%3A_Independent_Events
$P$ (The card is a king | The card is a face card) $\neq$ $P$ (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) $\neq$ $P$ (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 $\PageIndex{8}$ are actually the same, except that in Solution 2 we delayed substituting the values into the equation until after we solved the equation for $P(A \cap B)$ .

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