Bree and Kendra love to go to the movies. When they go, there is a probability of 0.3 that Bree will buy popcorn. The probability that Kendra will buy popcorn is 0.35 if Bree buys popcorn and 0.65 if Bree does not. Carmelita accompanies Bree and Kendra to the movies sometimes. During these trips, the probability that Carmelita buys popcorn is 0.55 if both Bree and Kendra buy popcorn and 0.4 if exactly one of Bree and Kendra buys popcorn. When Bree, Kendra, and Carmelita go to the movies together, find the probability that 1. all three buy popcorn; 2. Kendra and Carmelita buy popcorn, but Bree does not. Hint: Set up a probability tree diagram

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