[See Solution] Suppose that 8 out of 300 chips in a particular box are defective, and suppose that 3 chips are sampled at random from the box without replacement.
Question: Suppose that 8 out of 300 chips in a particular box are defective, and suppose that 3 chips are sampled at random from the box without replacement. The event A, B, and C are, respectively, the events that the first, second, and third chips sampled are defective.
- Draw probability tree with all probabilities
- Find the probability of \(P\left(A \cap B^{\prime} \cap C\right)\).
- Find the probability of \(P\left(B \mid A^{\prime}\right)\).
- Find the probability of \(P\left(B^{\prime} \mid A\right)\).
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