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 of choosing 2 red balls initially and then at least 2 blue balls of the remaining 4 drawn.
(d) Find the number of ways of choosing at least 2 red balls amongst the 6 chosen?
Suppose there is an urn containing 5 red, 4 white, and 11 blue balls. We drawn...
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.
Refer to Example 4.40. An urn contains six red balls, six white balls, and six blue balls, and sample of four balls is drawn at random without replacement. Compute the probability that all of the balls in the sample are the same color. (Round your answer to four decimal places.) b) An urn contains eight red balls, eight white balls, and eight blue balls, and sample of five balls is drawn at random without replacement. Compute the probability that the...
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...
Suppose that there is a white urn containing two white balls and three red balls and there is a red urn containing three 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. The probability of the second ball being...
An urn contains 5 blue balls, 5 white balls, 5 red balls, and 5 green balls. Larry is selecting 4 balls at random one after the other without replacement. What is the probability that at least one of the selected balls is blue?
4. An urn contains 5 blue balls, 3 green balls, and 7 white balls. (a) A ball is selected from the urn. What are the odds the ball is green? (2 Two balls are selected without replacement. What are the odds the balls are blue and green? (c) Two balls are selected without replacement. What are the odds at least one is blue or at least one is green? (d) Two balls are selected without replacement. What are the odds...
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
Suppose that an urn contains 10 red balls and 4 white balls. Supposed 3 balls are drawn one by one from the urn. What is the probability of getting one red ball and two white balls? Show all work! a) Assume the balls are drawn with replacement. b) Assume the balls are drawn without replacement.
Urn 1 contains 3 red and 6 blue balls, and urn 2 contains 4 red and 3 blue balls. The urns are equally likely to be chosen. a) If a blue ball is drawn, what is the probability that it came from urn 1? b) If a red ball is drawn, what is the probability that it came from urn 2?