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

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

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