In 3–5 sentences, explain the difference between independent and dependent events when calculating conditional probability, and provide an example of dependent events.

Answer 1

Independent events are those where the occurrence of one event does not affect the probability of the other event occurring. In contrast, dependent events are those where the occurrence of one event influences the probability of the other event. For example, consider drawing a card from a standard deck: if you draw a card and do not replace it, the probability of drawing a second card of a specific suit is dependent on the first draw. If the first card is a heart, the probability of drawing a second heart changes because there is one less heart in the deck.