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(1 point) There are 5 balls in an urn: 1 red, 1 green, and 3 blue....
Suppose that there are 2 red balls, 1 blue ball, and 2 white balls in an urn. A ball is drawn and its color is noted. After the ball is drawn, it is set aside and is replaced with a blue ball. Another ball is then drawn from the urn. Find the probability the first ball drawn was red given that the second ball drawn was blue.
(1 point) An urn has 3 red, 5 white, and 3 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?
6. There are 5 red balls and 7 blue balls in an urn. Two balls are drawn consecutively without replacement. What is the probability that the first ball drawn is red given that the second ball drawn is also red?
Urn A contains two red balls and eight blue balls. Urn B contains two red balls and ten green balls. Six balls are drawn from urn A and four are drawn from urn B; in each case, each ball is replaced before the next one is drawn. What is the most likely number of blue balls to be drawn? What is the most likely number of green balls to be drawn?
3. Given an urn containing 2 green, 3 white, and 4 red balls. If two balls are drawn and the first ball is not replaced before the second is drawn, what is the probability that the first ball is white and the second is red? a. 2/3 b. 7/17 c. 4/27 d. 1/6 e. 2/9
An urn contains 5 blue balls, 3 yellow balls and 2 red balls. Three balls are drawn without replacement. (i) What is the probability that all three balls are blue? (ii) What is the probability that two balls are blue and one ball is yellow? (iii) What is the probability that at least one of the balls is blue?
An urn contains 5 red, 6 blue, and 8 green balls. A. if a set of 3 balls is randomly selected, what is the probability that each of the balls will be the same color? b. if a set of 3 balls is selected but each time a ball is drawn the color is noted and the ball returned, what is the probability the balls will be the same color?
5. Suppose that the first urn contains 3 blue balls, 2 green balls and 2 white balls the second urn contains 2 blue balls 3 green balls and 4 white balls. Take out one ball from each urn. (1) Find the probability that at least one blue ball. (2) Find the probability that one blue and one white. I(3) Given at least one ball is blue, ind the probability that one blue and one white. 5. Suppose that the first...
Consider an urn with 10 blue balls, 5 green balls and 5 red balls. One ball is randomly drawn from the urn, and is associated with a score of X as follows: if a blue ball is drawn X = 2, if a green ball is drawn X = 1 and if a red ball is drawn (a) Compute E(X) and Var(X) (b) A game is played in which a player pays S3 and gets winnings of S2* For example,...
Question 3. (exercise 3.11-13 in textbook) An urn contains r red balls and b blue balls. A ball is chosen at random from the urn, its color is noted, and it is returned together with d more balls of the same color. This is repeated indefinitely. What is the probability that (a) The second ball drawn is blue? (b) The first ball drawn is blue given that the second ball drawn is blue? (c) Let Bn denote the event that...