(QUESTS) There are two boxes with marbles. Box 1 contains 5 black and 15 white marbles. Box 2 contains 10 black and 10 white marbles. Your partner picks one box at random, so it can be either Box 1 or Box 2 (and each box is chosen with the probability of 1). Then a marble is picked at random from the chosen box. (a) What is probability that the marble is black? (b) What is conditional probability that your opponent chose Box 1, given that marble was black?

(QUESTS) There are two boxes with marbles. Box 1 contains 5 black and 15 white marbles. Box 2 contains 10 black and 10 white marbles. Your partner picks one box at random, so it can be either Box 1 or Box 2 (and each box is chosen with the probability of 1). Then a marble is picked at random from the chosen box. (a) What is probability that the marble is black? (b) What is conditional probability that your opponent chose Box 1, given that marble was black?

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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