Consider an urn with 10 blue balls, 5 green balls and 5 red balls. One ball...
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?
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?
(1 point) There are 5 balls in an urn: 1 red, 1 green, and 3 blue. An experiment has the following rules: i. If a red ball is drawn the experiment ends. ii. If a green ball is drawn, it is set aside and another ball is drawn. iii. If the blue ball is drawn, it is replaced and another ball is drawn. What is the probability that first ball was blue given that the second ball was blue?
Urn A contains 5 green and 3 red balls, and urn B contains 2 green and 6 red balls. One ball is drawn from urn A and transferred to Urn b. Then one ball is drawn from urn B and transferred to urn A. Let X=the number of green balls in urn A after this process. List the possible values for X and then find the entire probability distribution for X.
An urn contains 2 balls that are either red or blue. At each step a ball is randomly drawn and replaced with a new ball, having the same color w.p. 4/5, or different color w.p. 1/5. Find the probability that the 5th ball drawn is red, if you start with 2 red balls in the urn. Please explain step by step how the transition probability matrix is formed.
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?
Suppose there is an urn containing 5 red, 4 white, and 11 blue balls. We drawn six balls from the urn (no replacement) (a) Find the number of ways (not the probability) of choosing a red ball, then a blue ball, then exactly 2 white balls, and finally exactly 2 blue balls. (b)Find the number of ways of choosing 2 red balls initially , then at least 3 blue balls, then a green ball. (c) Find the number of ways...
Urn One has 11 red balls and 8 blue balls. Urn Two has 10 red balls and 5 blue balls. An urn is selected at random and then a ball is selected from the selected urn at random. What is the probability that the ball selected is blue? State your answer to three places of decimal. Your Answer:
An urn contains 5 red balls and 2 green balls. Two balls are drawn one after the other with replacement. What is the proba- bility that the second ball is red?
Four balls are to be randomly chosen from an urn containing 4 red, 5 green, and 6 blue balls. 1. Find the probability that at least one red ball is chosen? 2. Given that no red balls are chosen, what is the probability that there are exactly 2 green balls among the four balls chosen.