Question: 2. On a given day, the first item produced by a manufacturer is defective with probability p and non-defective with probability 1 p. However,

2. On a given day, the first item produced by a manufacturer is defective with probability p and non-defective with probability 1 − p. However, whether or not an item produced afterward is defective depends only on the item that was produced right before it. It is defective with probability p1 if the previous item produced is non-defective, and it is defective with probability p2 if the previous item produced is defective. Find the probability that, on a randomly selected working day, the first four items produced by this manufacturer are all non-defective.

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