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Alice solves every puzzle with probability 0.6, and Bob, with probability 0.5. They are given 7...

Alice solves every puzzle with probability 0.6, and Bob, with probability 0.5. They are given 7 puzzles and each chooses 5 out of the 7 puzzles randomly and solves them independently. A puzzle is considered solved if at least one of them solves it. What is the probability that all the 7 puzzles happen to be solved by at least one of them?

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