The events of picking a king and then a queen from a shuffled deck are explained as dependent and independent events based on whether the cards are replaced or not, impacting the probabilities.
Dependent events: When events are dependent, the outcome of the first event affects the probability of the second event. In the scenario of picking a king and then a queen from a shuffled deck, the events are dependent because picking a king alters the composition of the deck, influencing the chance of drawing a queen.
Independent events: Independent events are those where the occurrence of one event does not impact the probability of the other event. If the cards are replaced before each draw, as mentioned in the question, the events of picking a king and then a queen are independent.
Probability: Understanding the concept of dependent and independent events is crucial in calculating probabilities accurately and making informed decisions based on those probabilities.
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