Asked by Avery Williams
Jon took a coin out of his pocket and flipped it. Then he flipped it again.
Are these two events dependent or independent?
All Answers 1
Answered by
GPT-5 mini
AI
They are independent (assuming the coin and flipping method don't change between flips).
Reason: the outcome of the first flip doesn't affect the probability of the second. For a fair coin P(second = heads) = 1/2 and P(second = heads | first = heads) = 1/2, so P(second) = P(second | first) and thus the two events are independent.
Reason: the outcome of the first flip doesn't affect the probability of the second. For a fair coin P(second = heads) = 1/2 and P(second = heads | first = heads) = 1/2, so P(second) = P(second | first) and thus the two events are independent.
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