Q1) There are two boxes; thefirst one has 5 red balls and 7blue balls while the secondbox has 3 red balls and 5white balls. One of the boxeswas drawn randomly and oneball was draw from it.Therefore the probability thatthe drawn ball was red is0.1 O0.25 O0.3 O0.4none of all above O

Answered: Image /qna-images/answer/81827ee0-18ef-4156-b700-1125887fb7f2.jpg

Answered: Q1) There are two boxes; the first one…

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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A committee of 2 is chosen at random from a population of 4 men and 5 women. What is the probability that the committee will consist of 1 man and 1 woman? (Enter your probability as a fraction.)
An urn contains 15 balls marked LOSE and 3 balls marked WIN. Suppose that Chuck and Delilia take turns selecting one ball from the urn, without replacement, where Vhuck makes the first selection. The individual that draws the third WIN ball wins the game. It does not matter who selected the first two. Show that the probability Chuck wins the game on his third selection is equal to 1/136.
Q4. There are two urns. The first urn contains 3 white and 7 black balls; the second contains 6 white and 4 black balls. One ball is taken out of the first urn at random and and put it into the second urn, and then one ball was taken out of the second urn. (a) Find the probability that the removed ball is white. (b) It is known that the ball taken from the second urn was white. Find the probability that a white ball was transferred from the first urn to the second.
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?
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.
Suppose that there is a white urn containing three white balls and one red ball 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.
There are two white balls in box B1, two red balls in box B2, two white and two red balls in box B3, and three white and one red balls in box B4. The probability of choosing boxes B1, B2, B3 or B4 is given as 1/2, 1/4, 1/8 and 1/8 respectively. One of the boxes is chosen at random and a ball is drawn at random from the selected box. What is the probability that the selected ball comes from box B3 under the condition that it is white?
Bag A contains 3 red and 4 black balls and Bag B contains 4 red and 5 black balls. One ball istransferred from Bag A to Bag B and then a ball is drawn from Bag B. The ball so drawn is found tobe red in color. Find the probability that the transferred ball is black.
Suppose that a bag contains one white chip and two red chips. Chips are going to be selected at random from the bag with replacement. What is the probability of selecting a white chip from the bag? What is the probability of selecting a red chip from the bag? Are the outcomes of selecting a white chip and selecting a red chip equally likely? Two chips are selected from the bag with replacement. Is the probability of selecting two white chips greater than, equal to, or less than the probability of selecting two red chips? Explain your answer.
For the same bag of candy with 6 colors in equal amounts, what is the probability of drawing a yellow candy and a blue candy when drawing two subsequent pieces from the bag (assume the first candy is put back in the bag and mixed before the second draw)
Suppose that there is a white urn containing two white balls and three red balls and there is a red urn containing one white ball and two 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. The probability of the second ball being red is?

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Q1) There are two boxes; the first one has 5 red balls and 7 blue balls while the second box has 3 red balls and 5 white balls. One of the boxes was drawn randomly and one ball was draw from it. Therefore the probability that the drawn ball was red is 0.1 O 0.25 O 0.3 O