Suppose you have two urns with poker chips in them. Urn I
contains two red chips and four white chips.
Urn II contains three red chips and one white chip. You randomly
select one chip from urn I and put
it into urn II. Then you randomly select a chip from urn II. What
is the probability that the chip you
select from urn II is red?
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Suppose you have two urns with poker chips in them. Urn I
contains two red chips...
(c) Find E(Y). 8. (10) Urn I contains 5 white chips and 3 red chips. Urn...
(c) Find E(Y). 8. (10) Urn I contains 5 white chips and 3 red chips. Urn II contains 4 white chips and 4 red chips. Urn I is selected with probability 3, and Urn II is selected with probability . Giver that a white chip is selected, what is the probability that it came from Urn I?
Suppose we have two urns (a left urn and a right urn). The left urn contains N black balls and the right urn contains N red balls.
Suppose we have two urns (a left urn and a right urn). The left urn contains N black balls and the right urn contains N red balls. Every time step you take one ball (chosen randomly) from each urn, swap the balls, and place them back in the urns. Let Xm be the number of black balls in the left urn after m time steps. Find the Markov chain model and find the unique stationary distribution when N=5
Urn question
Urn I contains two white chips and one red chip; urn II has one white chip and two red chips. One chip i drawn at random from urn I and transferred to urn II. then onechip is drawn from urn II. Suppose that a red chip is selected from urn II. what is the probability that the chip transferred was white?
Example. 2 urns. Red urn contains 3 red balls, 2 white balls. White urn contains 1...
Example. 2 urns. Red urn contains 3 red balls, 2 white balls. White urn contains 1 red ball, 4 white balls. Pick an urn randomly. Randomly select a ball from that urn. Without replacing the 1st ball, select a ball from the urn whose color matches the first ball. Q. Make a tree diagram, complete with probabilities describing this situation. Q. Find the probability that the first ball is white. Q. Find the probability that the second ball is white....
Two identical boxes have chips in them. Box I has 4 blue chips and 2 red...
Two identical boxes have chips in them. Box I has 4 blue chips and 2 red chips. Box II has 2 blue chips and 6 red chips. A box is randomly selected, and one chip is randomly drawn. a) What is the probability of drawing a red chip? b) Given that Box I was chosen, what is the probability of drawing a red chip? c) Based on your answers in parts a & b, are the events “drawing 1 red...
An urn contains 3 yellow chips, numbered 1 through 3, four red chips, numbered 1 through...
An urn contains 3 yellow chips, numbered 1 through 3, four red chips, numbered 1 through 4, and 5 green chips, numbered 1 through 5.An urn contains 3 yellow chips, numbered 1 through 3, four red chips, numbered 1 through 4, and 5 green chips, numbered 1 through 5. What is the probability of not drawing a chip numbered 4 on the draw of a single chip? What is the probability of drawing a chip numbered 3 or a green...
Consider 3 urns. The urn A contains 5 white balls and 10 red balls, the urn...
Consider 3 urns. The urn A contains 5 white balls and 10 red balls, the urn B contains 9 white balls and 6 red balls and the urn C contains 4 white balls and 9 red balls. A ball is selected from ballot box 1 and placed in ballot box 2, then one ball is taken from ballot box 2 and placed in ballot box 3. Finally, a ball is taken from ballot box 3. What is the probability that...
Need help with well-explained solution 1. Assume that there are two urns. The first urn contains...
Need help with well-explained solution 1. Assume that there are two urns. The first urn contains 4 red balls, 3 blue balls, and 3 white balls. The second urn contains 2 red balls, 4 blue balls, and 4 white balls. You randomly select an urn and take two balls from the urn. The probability that you pick the first urn is 40%. What is the probability that (a) the two balls are red? (b) the second ball is blue? (c)...
A bag contains 6 poker chips, one is red and the other 5 are blue. You...
A bag contains 6 poker chips, one is red and the other 5 are blue. You and a friend take turns selecting a chip at random from the bag. The first person to get the red chip is the winner. Find the probability that you win if you go first and a) the chips are drawn without replacement b) the chips are drawn with replacement.
5. Two identical boxes have chips in them. Box I has 4 blue chips and 2...
5. Two identical boxes have chips in them. Box I has 4 blue chips and 2 red chips. Box II has 2 blue chips and 6 red chips. A box is randomly selected, and one chip is randomly drawn. a) What is the probability of drawing a red chip? b) Given that Box I was chosen, what is the probability of drawing a red chip? c) Based on your answers in parts a & b, are the events “drawing 1...
(c) Find E(Y). 8. (10) Urn I contains 5 white chips and 3 red chips. Urn II contains 4 white chips and 4 red chips. Urn I is selected with probability 3, and Urn II is selected with probability . Giver that a white chip is selected, what is the probability that it came from Urn I?
Example. 2 urns. Red urn contains 3 red balls, 2 white balls. White urn contains 1 red ball, 4 white balls. Pick an urn randomly. Randomly select a ball from that urn. Without replacing the 1st ball, select a ball from the urn whose color matches the first ball. Q. Make a tree diagram, complete with probabilities describing this situation. Q. Find the probability that the first ball is white. Q. Find the probability that the second ball is white....
A bag contains 6 poker chips, one is red and the other 5 are blue. You and a friend take turns selecting a chip at random from the bag. The first person to get the red chip is the winner. Find the probability that you win if you go first and a) the chips are drawn without replacement b) the chips are drawn with replacement.
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