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The customers at the Take-A-Break Café always want one of two hot beverages, either tea (T) with probability P(r) = 0.60 or coffee (C) with probability P(C) = 0.40- The probability that a customer who chooses tea also wants a doughnut (D) is80%, the probability that a customer who chooses tea also wants a bagel (B) is 15%, and the probability that a customer who chooses tea also wants a muffin (M) is 5%. Inaddition, the probability that a customer who chooses coffee also wants a doughnut is 15%, the probability that a customer who chooses coffee also wants a bagel is 10%, andthe probability that a customer who chooses coffee also wants a muffin is 15%.
a) Determine the probability that a customer who wants a doughnut is a coffee-drinker.
b) Determine the probability that a customer wants BOTH a muffin AND a cup of tea.
c) Determine the probability that a customer who wants a bagel is NOT a tea-drinker.
d) Determine the probability that a customer who wants BOTH a doughnut AND a muffin is a tea-drinker.
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