Jiang always drinks coffee after arriving at Posvar Hall in the morning, while Marla and Tara sometimes join her. The probability that Marla drinks coffee with Jiang is 1/4 and the probability that Tara drinks coffee with Jiang is 3/8. The probability that Jiang drinks coffee by herself is 1/2. What is the probability that Jiang has coffee with both Marla and Tara? If Tara did not have coffee with Jiang, what is the probability that Marla was not there either? If Jiang had coffee with Marla this morning, what is the probability that Tara did not join them?   (Hint: You want to start off by considering this question: given the information provided in the story what those numbers are really about?), which of the two analytical tools we have covered in class will be more helpful to solve this problem, a probability table or a probability tree? )

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Jiang always drinks coffee after arriving at Posvar Hall in the morning,
while Marla and Tara sometimes join her. The probability that Marla drinks coffee
with Jiang is 1/4 and the probability that Tara drinks coffee with Jiang is 3/8. The
probability that Jiang drinks coffee by herself is 1/2.

What is the probability that Jiang has coffee with both Marla and
Tara? If Tara did not have coffee with Jiang, what is the probability that
Marla was not there either? If Jiang had coffee with Marla this morning, what is the probability
that Tara did not join them?

 

(Hint: You want to start off by considering this question: given the information
provided in the story what those numbers are really about?), which of the two
analytical tools we have covered in class will be more helpful to solve this problem,
a probability table or a probability tree? )

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