8. Urn A has four red, three blue, and two green balls. Urn B has two red, three blue,and four green balls. A ball is drawn from urn A and put into urn B, and then a ballis drawn from urn B. If a red ball is drawn from urn B, what is the probability thata red ball was drawn from urn A?

Conditional probability is calculated for the event of which other event is already occurred. In the…

Answered: 8. Urn A has four red, three blue, and…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Similar questions

There are 8 yellow and 4 red balls inside an urn. A. Two balls are selected one by one with replacement. What is the probability that the first is yellowand the second is red? B. What is the probability that the first is yellow and the second is red if the two balls aredrawn without replacement?
Suppose that there is a white urn containing two white balls and three red balls and there is a red urn containing two white balls and four red balls. An experiment consists of selecting at random a ball from the white urn and then (without replacing the first ball) selecting at random a ball from the urn having the color of the first ball. Find the probability that the second ball is red.
Three six-sided dice are in an urn: one fair die and two trick dice. One of the trick dice always lands on either 2, 4, or 6, with equal probability, while the other trick die always lands on 1, 3, or 5, with equal probability. 9. You draw one die at random and roll it. What is the probability that you drew the fair die, given that the roll is at least 4?
3. An urn contains 10 red, 15 blue and 25 green balls. (a) Eight balls are chosen without replacement. What is the probability exactly 4 of the chosen balls are green? (b) Now four balls are chosen from the urn without replacement. What is the probability the first chosen ball is red, the second chose ball is green, the third chosen ball is green and the fourth chosen ball is blue?
12. A bag contains 5 black and 7 white balls. A ball is drawn out of it and replaced in the båg. Then a ball is drawn again. What is the probability that (i) both the balls drawn were black, (ii) both were white, (iii) the first ball was white and the second black, (iv) the first ball was black and the second white.
Q6. Dr. Lawrence has three boxes. Their contents are Box 1: 2 red balls and 4 white balls Box 2: 4 red balls and 2 white balls Box 3: 3 red balls and 3 white balls First, a box is selected, and then two balls are drawn at random from that box (without replacement). a. What is the probability that the selected both balls are of the same color. b. If the selected balls are of the same color, what is the probability that they are selected from box 2?
a. An urn contains 3 red, 4 white and 5 blue discs. Two discs are selected at random from the urn, one by one without replacement. Find the probability that both discs are different colors.

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8. Urn A has four red, three blue, and two green balls. Urn B has two red, three blue, and four green balls. A ball is drawn from urn A and put into urn B, and then a ball is drawn from urn B. If a red ball is drawn from urm B, what is the probability that a red ball was drawn from urn A?