2. Use Bayes' theorem to solve the following: There are two bags. Thefirst bag contains four mangoes and two apples; the second bag containsfour mangoes and four apples. We also have a biased coin, which shows"Heads" with probability 0.6 and "Tails" with probability 0.4. If thecoin shows "Heads". we pick a fruit at random from bag 1; otherwisewe pick a fruit at random from bag 2. Your friend flips the coin (youcannot see the result), picks a fruit at random from the correspondingbag, and presents you a mango.What is the probability that the mango was picked from bag 2?

Solution : Given that : from Bayes theorem P(bag 2 given mango)=P(bag 2 and mango)/P(mango)…

Answered: 2. Use Bayes' theorem to solve the…

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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An urn contains 15 balls marked LOSE and 3 balls marked WIN. Suppose that Chuck and Delilia take turns selecting one ball from the urn, without replacement, where Vhuck makes the first selection. The individual that draws the third WIN ball wins the game. It does not matter who selected the first two. Show that the probability Chuck wins the game on his third selection is equal to 1/136.
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