An urn contains 6 red, 9 green, and 11 blue balls. The following is repeated 3...
An urn contains 6 red, 9 green, and 11 blue balls. The following is repeated 3 times: a ball is selected from the urn at random and removed (called “sampling without replacement”). Give your answers to 3 significant digits.
(a) What is the probability that all 3 selected balls are the same color?
(b) What is the probability that all 3 selected balls are different colors?
(c) Repeat part (a) assuming “sampling with replacement”. That is, the following is repeated 3 times: a single ball is selected from the urn at random, its color is noted, then it is returned to the urn before the next ball is drawn.
(d) Repeat part (b) assuming sampling with replacement
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An urn contains 6 red, 9 green, and 11 blue balls. The following
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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?
Question 3. (exercise 3.11-13 in textbook) An urn contains r red balls and b blue balls....
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...
Question 3. (exercise 3.11-13 in textbook) An urn contains r red balls and b blue balls....
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...
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An urn contains 3 red balls, 2 blue balls, and 5 white balls. A ball is...
An urn contains 3 red balls, 2 blue balls, and 5 white balls. A ball is selected and its color noted. Then it is replaced. A second ball is selected and its color noted. Find the probability of: Selecting 2 blue balls (round to 4 decimal places)
Refer to Example 4.40. An urn contains six red balls, six white balls, and six blue...
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...
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In an urn, there are 3 blue balls and 2 red balls. A ball is selected...
In an urn, there are 3 blue balls and 2 red balls. A ball is selected at random without replacement. Regardless of what color the first ball was, a blue ball is added to the urn (so there are a total of 5 balls in the urn now). Then a second ball is selected from the urn. a) What is the chance that the second ball selected from the urn is blue? b) Given that the second ball is blue,...
2. An urn contains two green balls and three red balls. Suppose two balls will be...
2. An urn contains two green balls and three red balls. Suppose two balls will be drawn at random one after another and without replacement (i.e., the first ball is not returned to the urn before the second one is drawn). (a) Find the probabilities of the events A-I A green ball appears in the irst draw (Note, in event B, the first draw is supposed unknown, for example, after the first draw,you do not look at what color the...
Urn 1 contains 3 red and 6 blue balls, and urn 2 contains 4 red and...
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?
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...
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In an urn, there are 3 blue balls and 2 red balls. A ball is selected at random without replacement. Regardless of what color the first ball was, a blue ball is added to the urn (so there are a total of 5 balls in the urn now). Then a second ball is selected from the urn. a) What is the chance that the second ball selected from the urn is blue? b) Given that the second ball is blue,...
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