P3. Four identical urns each contain three balls. In urn I, all 3 balls are black, in urn II, 2 black and 1 iswhite, in urn III, 1 is black and 2 are white, and in urn IV, all 3 are white. One of the urns is picked atrandom, and a ball is chosen from that urn, which turns out to be white. (a) What is the probability that all3 balls in the selected urn are white? (b) A second ball is picked from the selected urn and is also found tobe white. Now, what is the probability that all 3 balls in the selected are white?

4 urn 1 : 3 black 2 : 2 black and 1 white 3 : 1 black and 2 white 4 : 3 white We have to calculate…

Answered: P3. Four identical urns each contain…

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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B. A box contains 6 red balls 4 blue balls Draw two cards in a row If the draw is with return, what is the probability that 1. The two balls are blue 2. The two balls are of different colours
Suppose you have three bowls, X, Y , and Z with some number of red and blue balls. Bowl X has 2 red and 2 blue balls, bowl Y has 1 red and 3 blue balls, and bowl Z has 3 red and 1 blue ball. A bowl is chosen at random and a ball is drawn from it. What is the probability that the ball was drawn from bowl X given the ball was blue?
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3. All of the morning math classes are filled & Lisa has a decision to take either Mrs. Fowler or Mr. Williams in the afternoon, what is the probability of Lisa taking a Mrs. Fowler or Mr. Williams in the afternoon? 4. Lisa's school counselor informs her all of Mrs. Fowlers classes are filled. The school adds another teacher Mrs. Jackson. She will teach (1ª, 3rd, 5th, and 6th). What is now the probability of getting Mrs. Jackson for math in the morning?

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