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You tell your friend about the strange farmer's market you've been to in the previous question, and so your friend decides to visit it the next day. Just like you, your friend has to pick 1 fruit (at random, without looking) from each of 3 bags: Bag A, Bag B, and Bag C. There are again only apples and oranges inside each of the bags, but now in the following quantities: Bag A contains 1 apple(s) and 5 orange(s), Bag B contains 4 apple(s) and 1 orange(s), Bag C contains 3 apple(s) and 1 orange(s). Given that your friend picked exactly 2 apples in total, what is the probability that the fruit picked from bag A was an apple?

You tell your friend about the strange farmer's market you've been to in the previous question, and so your friend decides to visit it the next day. Just like you, your friend has to pick 1 fruit (at random, without looking) from each of 3 bags: Bag A, Bag B, and Bag C. There are again only apples and oranges inside each of the bags, but now in the following quantities: Bag A contains 1 apple(s) and 5 orange(s), Bag B contains 4 apple(s) and 1 orange(s), Bag C contains 3 apple(s) and 1 orange(s). Given that your friend picked exactly 2 apples in total, what is the probability that the fruit picked from bag A was an apple?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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You tell your friend about the strange farmer's market you've been to in the previous question, and so your friend decides to visit it the next day. Just like you, your friend has to pick 1 fruit (at random, without looking) from each of 3 bags: Bag A, Bag B, and Bag C. There are again only apples and oranges inside each of the bags, but now in the following quantities: Bag A contains 1 apple(s) and 5 orange(s), Bag B contains 4 apple(s) and1 orange(s), Bag C contains 3 apple(s) and 1 orange(s). Given that your friend picked exactly 2 apples in total, what is the probability that the fruit picked from bag A was an apple? WRITE YOUR ANSWER AS A NUMBER WITH TWO DECIMALS, I.E., BETWEEN 0.00 AND 1.00.
Transcribed Image Text:You tell your friend about the strange farmer's market you've been to in the previous question, and so your friend decides to visit it the next day. Just like you, your friend has to pick 1 fruit (at random, without looking) from each of 3 bags: Bag A, Bag B, and Bag C. There are again only apples and oranges inside each of the bags, but now in the following quantities: Bag A contains 1 apple(s) and 5 orange(s), Bag B contains 4 apple(s) and1 orange(s), Bag C contains 3 apple(s) and 1 orange(s). Given that your friend picked exactly 2 apples in total, what is the probability that the fruit picked from bag A was an apple? WRITE YOUR ANSWER AS A NUMBER WITH TWO DECIMALS, I.E., BETWEEN 0.00 AND 1.00.
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