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Cards are drawn from a deck without replacement. What does that make the draws?
ADependent, since the second pick is affected
BIndependent, since each card is equally likely
CMutually exclusive, since a card cannot repeat
DEqually likely, since the deck stays the same
Answer & Solution
Correct answer: A. Dependent, since the second pick is affected
1. Without replacement the first card is set aside, so only 51 cards remain for the second draw.
2. The probabilities for the second pick therefore depend on what was drawn first.
3. Events whose probabilities are affected in this way are dependent rather than independent.
_Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 3 "Probability Topics", section 3.2 Independent and Mutually Exclusive Events_
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