A survey of families revealed that in a typical evening, 65% of all families watched television (35% did not), 45% had dinner together (55% did not), and 25% watched television and had dinner together.
1. What is the probability that a randomly selected family watched television, but did not have dinner together?
2. What is the probability that a family randomly selected from those that watched television also had dinner together?
3. Are watching television and having dinner together independent events? Answer “yes” or “no,” explain clearly, and include supporting calculations.
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