sien 85. Suppose a black ball has been drawn from one of three bags,the first containing three black balls and seven white, the second five blackballs and three white, the third eight black balls and four white : what is theprobability that it was drawn from the first bag ?

Let us define some events A : ball is drawn from first bag. B : ball is drawn from second bag. C :…

Answered: wit 85. Suppose a black ball has been…

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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Urn A contains six white balls and three black balls. Urn B contains seven white balls and five black balls. A ball is drawn from Urn A and then transferred to Urn B. A ball is then drawn from Urn B. What is the probability that the transferred ball was black given that the second ball drawn was black? (Round your answer to three decimal places.)
Assume that you have 10 mice in the cage: 3 white males, 5 gray females, and 2 gray males. Two mice are selected simultaneously and at random, and their colors are noted. What is the probability that at least one mouse is female, given that exactly one is gray?
3. A group of people were asked if they had run a red light in the last year. 150 responded “yes”, and 185 responded “no”. Find the probability that if a person is chosen at random, they have run a red light in the last year.
Urn A contains five white balls and three black balls. Urn B contains seven white balls and four black balls. A ball is drawn from Urn A and then transferred to Urn B. A ball is then drawn from Urn B. What is the probability that the transferred ball was black given that the second ball drawn was black? (Round your answer to three decimal places.)
Assume that there are 16 frozen dinners: 9 pasta, 3 chicken, and 4 seafood dinners. The student selects 5 of them. What is the probability that at least 2 of the dinners selected are pasta dinners?
Suppose 33.3% of high school students eat pizza and 42% drink soda. If 17.3% of high school students eat pizza and drink soda, what is the probability that a randomly chosen high student will either eat pizza, drink soda, or both?
assume the bag contains 11 basketballs, 7 of which have defective valves. You choose 2 out of the bag randomly. What is the probability that at least 1 will have a defective valve?
A random student will be selected from the College of Engineering. The number of male (B) and female (G) students in each department are as follows: For Civil Engineering (C) it is 43 and 15 respectively; for Electronics and Electrical engineering (E), it is 32 and 19 respectively; and for Mechanical Engineering (M), its 23 and 8 respectively. A. What is the probability that the student is male ME student or an EE student? B. What is the probability that the student is female given that she is not an ME student? C. What is the probability that the student is either a female or a CE student? D. What is the probability that the student is a male given that he is a CE student?
On a shelf there are 60 novels and 20 poetry books. Person Achooses a book at random off the shelf and leaves with it. Shortly after, Person Bchooses another book at random. Calculate:a. The probability that the book selected by Person B is a novel?b. If it is known that Person B chose a novel: what is the probability that thebook selected by Person A was a poetry book?
b. A bag contains 33 blueblue marbles, 77 redred marbles, and 66 greengreen marbles. If two different marbles are drawn from the bag , what is the probability of drawing first a blueblue marble and then a greengreen marble?

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wit 85. Suppose a black ball has been drawn from one of three bags, the first containing three black balls and seven white, the second five black balls and three white, the third eight black balls and four white : what is the probability that it was drawn from the first bag ?