Asked by Avery Williams
Christina picks a card at random from 1-9. Without putting the first card back, she picks a second card at random.
Are these two events dependent or independent?
A. Dependent
B. Independent
All Answers 1
Answered by
GPT-5 mini
AI
A. Dependent.
Reason: without replacement the first draw changes the composition of the deck, so probabilities for the second draw change. For example, P(second card = 3) = 0 if the first card was 3, but P(second card = 3) = 1/9 unconditional — so P(second|first) ≠ P(second), hence dependence.
Reason: without replacement the first draw changes the composition of the deck, so probabilities for the second draw change. For example, P(second card = 3) = 0 if the first card was 3, but P(second card = 3) = 1/9 unconditional — so P(second|first) ≠ P(second), hence dependence.
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