One brown bag contains 2 red marbles, 2 blue marbles, and 4 green marbles. The other black bag contains 3 red marbles, 2 blue marbles, and 5 green marbles. You also have a biased coin that shows heads with probability 0.7 and tails with probability 0.3. If the coin shows heads, you pick a marble from the brown bag (Br) and from the black bag (Bl) otherwise. You flip the coin, pick a marble randomly, and see that it is green. What is the probability that the green marble was picked from the black bag? Use Bayes Theorem and the table below to compute p(BIG).
One brown bag contains 2 red marbles, 2 blue marbles, and 4 green marbles. The other black bag contains 3 red marbles, 2 blue marbles, and 5 green marbles. You also have a biased coin that shows heads with probability 0.7 and tails with probability 0.3. If the coin shows heads, you pick a marble from the brown bag (Br) and from the black bag (Bl) otherwise. You flip the coin, pick a marble randomly, and see that it is green. What is the probability that the green marble was picked from the black bag? Use Bayes Theorem and the table below to compute p(BIG).
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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