Question: Alice solves every puzzle with probability0.6 , and Bob, with probability0.5 . They are given7puzzles and each chooses5out of the7puzzles randomly and solves them independently.

Alice solves every puzzle with probability0.6 , and Bob, with probability0.5 . They are given7puzzles and each chooses5out of the7puzzles randomly and solves them independently. A puzzle is considered solved if at least one of them solves it. What is the probability that all the7puzzles happen to be solved by at least one of them?

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