Question

If you draw a card from a deck and do not replace it, what type of events does this represent when drawing a second card?

Ask by Simmons Sullivan. in South Africa
Jan 06,2025

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Answer

Drawing a second card after the first without replacement represents dependent events because the first draw affects the probabilities of the second draw.

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The Deep Dive

When you draw a card from a deck and do not replace it, the second draw represents a dependent event. This means that the outcome of the second draw is affected by what happened in the first. Since the total number of cards and the composition of the deck changes after the first card is removed, the probabilities for the second card differ from those of the first. For example, if you draw an Ace first, there are now only 51 cards left with only 3 Aces remaining. In everyday life, this situation can be related to decision-making and consequences. For instance, if you're picking teams for a game and you select one player first, your options for the second player become limited. Similarly, if a recruiter interviews a candidate and decides to hire them, it changes the available pool of applicants for the next position they need to fill, impacting future choices.

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