Suppose that there is a white urn containing two white balls and three red balls and...

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.

Expert Solution

orchestra answered 2 years ago

An urn contains 5 white and 8 red balls. Assume that white balls are numbered. Suppose...

An urn contains 5 white and 8 red balls. Assume that white balls are numbered. Suppose that 3 balls are chosen with replacement from that urn. Let Yi = 1 if if the ith white ball is selected and Yi = 0 otherwise, i = 1,2: Find the EXPECTED VALUE of Yi given that a) Y2 = 1; b) Y2 = 0.

An urn contains 6 red balls, 7 white balls, and 8 blue balls. a) If three...

An urn contains 6 red balls, 7 white balls, and 8 blue balls. a) If three balls are sampled without replacement, find probability that all are different colors b) If three balls are sampled with replacement, find the probability that are different colors. c) i n balls sampled with replacement, find probability that all are red. d) If nballs sampled with replacement, find the probability that all are the same color.

An urn contains 4 white balls and 6 red balls. A second urn contains 8 white...

An urn contains 4 white balls and 6 red balls. A second urn contains 8 white balls and 2 red balls. An urn is selected, and a ball is randomly drawn from the selected urn. The probability of selecting the first urn is 0.7. If the ball is white, find the probability that the second urn was selected. (Round your answer to three decimal places.)

An urn contains 4 white balls and 6 red balls. A second urn contains 7 white...

An urn contains 4 white balls and 6 red balls. A second urn contains 7 white balls and 3 red balls. An urn is selected, and the probability of selecting the first urn is 0.1. A ball is drawn from the selected urn and replaced. Then another ball is drawn and replaced from the same urn. If both balls are white, what are the following probabilities? (Round your answers to three decimal places.) - (a) the probability that the urn...

An urn has 2 red, 5 white, and 4 blue balls in an urn and two...

An urn has 2 red, 5 white, and 4 blue balls in an urn and two are drawn one after another without replacement. What is the probability that the two balls are both red given that they are the same color?

Suppose three balls are chosen from a ballot box containing 3 red balls, 4 white balls...

Suppose three balls are chosen from a ballot box containing 3 red balls, 4 white balls and 5 blue balls. Let X be the number of red balls and Y the number of white balls. Make a joint distribution table of X and Y and indicate the marginal probabilities. *STEP BY STEP*

Urn A contains four white balls and three black balls. Urn B contains six white balls...

Urn A contains four white balls and three black balls. Urn B contains six white balls and seven 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 white given that the second ball drawn was white? (Round your answer to three decimal places.) I can't seem to figure this out! Please help! Thank you!

There are three urns each containing seven red, five green, and three white balls, and two...

There are three urns each containing seven red, five green, and three white balls, and two old urns each containing five red, three green, and seven white balls. The urns are identical except for an old or new date stamped beneath the base. If a single red ball is randomly drawn from one of these urns, was it most probably drawn from an old urn or a new urn?

For an urn containing 4 red balls and 6 green balls, let the number of balls...

For an urn containing 4 red balls and 6 green balls, let the number of balls randomly drawn be the number of heads turning up when 5 fair coins have been previously flipped. What is the probability of drawing 3 green balls?

An urn contains five red balls, six white balls, and seven blue balls, and a sample...

An urn contains five red balls, six white balls, and seven blue balls, and a sample of five balls is drawn at random without replacement. (a) What is the size of the sample space? (b) Compute the probability that the sample contains three red balls, one white ball and one blue ball. (c) Compute the probability that the sample contains at least one ball of each color. (d) Compute the probability that all of the balls in the sample are...

Question