23. There are ten urns of which each of three contains 1 white and 9 black balls, cach of otherthree contains 9 white and 1 black ball, and of the remaining four each contains 5 white and5 black balls. One of the urns is selected at random and a ball taken blindly from it turns outto be white. What is the probabililty that an urn containing 1 white and 9 black balls wasselected?

Answered: Image /qna-images/answer/c9538386-119f-4465-98b1-df0eb53f98e9.jpg

Answered: O 23. There are ten urns of which each…

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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ASAPP!! Suppose there are three urns. Urn 1 contains two red balls and three black balls. Urn 2 contains one red ball and three black balls. Urn 3 contains four red balls and two black balls. A ball is drawn at random from Urn 1. If it is red, a second ball is drawn at random from Urn 2, but if it is black, the second ball is drawn at random from Urn 3. a) What is the probability of the second ball being drawn from Urn 3? b) What is the probability that the second ball is black, given that it is drawn from Urn 2? c) What is the probability that the second ball is black? (broad explanation)
I need help on both questions. Thank you in advance!
a) There are 6 balls in the bowl, of which 0 is white and the rest black. Person A has no knowledge of how to make balls the colors are determined, so according to his preconception all options (0,1,2,3,4,5,6) for 0 are equal likely. The person B picks up the ball from the bowl at random, returning it to the bowl and says the color is black. B repeats this one more time and says the color is black again. Person A does not know person B. Person A tries to figure out the number of white balls in the bowsl using Bayesian inference. Express by listing the values or, if desired, also by the formula i) the prior distribution of from the perspective of person A, ii) likelihood function the person A uses, iii) the person A' posterior distribution for 0. What is the most probable value of from the perspective of person A after making the observations? b) Continuation: The person C is listening the same experiment, without seeing the bowl either. Person C happens to know person B and knows that…
5. A box contains 9 Red and 8 Green balls. In how many ways can 4 balls be drawn such that (a) they are all Red and (b) 2 Red and 2 Green balls?
You are trying frantically to get dressed, and you need to reach into your sock drawer to get two matching socks in the dark. Your sock drawer contains 20 socks, consisting of 10 matched pairs. All of them are only black or white, and they are loose, disorganized randomly, and not bound together. This means you have 10 black and 10 white socks in your disorganized drawer. This makes 10 total matching pairs of 5 pairs of white and 5 pairs of black. 1. How can you guarantee success of picking a matching pair? In other words, what is the minimum number of socks needing to be picked to guarantee a matching pair? (Hint: There is a right answer to this question!) 2. Explain dependent and independent trials

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