Urn A contains 7 yellow balls and 3 red balls. Urn B contains 10 yellow balls...
Urn A contains 7 yellow balls and 3 red balls. Urn B contains 10 yellow balls and 7 red balls. Urn C contains 12 yellow balls and 4 red balls. An urn is picked randomly (assume that each urn is equally likely to be chosen), and then a ball is picked from the selected urn. What is the probability that the chosen ball came from urn B, given that it was a yellow ball?
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Urn A contains 7 yellow balls and 3 red balls. Urn B contains 10
yellow balls...
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?
4. Urn A contains 3 red and 3 black balls, whereas urn B contains 4 red...
4. Urn A contains 3 red and 3 black balls, whereas urn B contains 4 red and 6 black balls. If a ball is randomly selected from each urn, what is the probability that the balls will be the same color?
An urn contains 3 red balls and 7 yellow balls. Suppose we select two balls from...
An urn contains 3 red balls and 7 yellow balls. Suppose we select two balls from the urn without replacement. A. Referring to no replacement, find the probability that one ball is red and one ball is yellow B. Referring to no replacement, find the probability that the first ball is yellow or the second ball is yellow
Example. 2 urns. Red urn contains 3 red balls, 2 white balls. White urn contains 1...
Example. 2 urns. Red urn contains 3 red balls, 2 white balls. White urn contains 1 red ball, 4 white balls. Pick an urn randomly. Randomly select a ball from that urn. Without replacing the 1st ball, select a ball from the urn whose color matches the first ball. Q. Make a tree diagram, complete with probabilities describing this situation. Q. Find the probability that the first ball is white. Q. Find the probability that the second ball is white....
Consider 3 urns. The urn A contains 5 white balls and 10 red balls, the urn...
Consider 3 urns. The urn A contains 5 white balls and 10 red balls, the urn B contains 9 white balls and 6 red balls and the urn C contains 4 white balls and 9 red balls. A ball is selected from ballot box 1 and placed in ballot box 2, then one ball is taken from ballot box 2 and placed in ballot box 3. Finally, a ball is taken from ballot box 3. What is the probability that...
3. * One urn contains one black ball and one red ball. A second urn contains...
3. * One urn contains one black ball and one red ball. A second urn contains one white ball and one red ball. One ball is selected at random from each urn (a) Exhibit the sample space ? for this experiment. (b) Show the subset of ? that defines the event A that both balls will be of the same color. (c) Assume each elementary outcome in 2 is equally likely to occur. What is the probability that both balls...
An urn contains 3 yellow balls and 9 red balls. We select 4 balls from the...
An urn contains 3 yellow balls and 9 red balls. We select 4 balls from the urn with replacement. Find the probability that at least one yellow ball is obtained.
An urn contains 10 red balls. 7 green balls and 4 yellow balls. At random, 5...
An urn contains 10 red balls. 7 green balls and 4 yellow balls. At random, 5 balls are drawn (without replacement). What is the probability 3 of them are red?
An urn contains 7 white, 3 red and 10 black balls. If five balls are drawn...
An urn contains 7 white, 3 red and 10 black balls. If five balls are drawn at random, find the probability that at least one red ball is selected.
In an urn, there are 10 blue balls and 10 red balls. Balls are randomly selected...
In an urn, there are 10 blue balls and 10 red balls. Balls are randomly selected from the urn over and over again. Find the probability that the third blue ball is chosen on the fifth selection under the different assumptions: a) Balls are NOT returned to the urn after selection. b) Balls are returned to the urn after being selected.
4. Urn A contains 3 red and 3 black balls, whereas urn B contains 4 red and 6 black balls. If a ball is randomly selected from each urn, what is the probability that the balls will be the same color?
Example. 2 urns. Red urn contains 3 red balls, 2 white balls. White urn contains 1 red ball, 4 white balls. Pick an urn randomly. Randomly select a ball from that urn. Without replacing the 1st ball, select a ball from the urn whose color matches the first ball. Q. Make a tree diagram, complete with probabilities describing this situation. Q. Find the probability that the first ball is white. Q. Find the probability that the second ball is white....
3. * One urn contains one black ball and one red ball. A second urn contains one white ball and one red ball. One ball is selected at random from each urn (a) Exhibit the sample space ? for this experiment. (b) Show the subset of ? that defines the event A that both balls will be of the same color. (c) Assume each elementary outcome in 2 is equally likely to occur. What is the probability that both balls...
In an urn, there are 10 blue balls and 10 red balls. Balls are randomly selected from the urn over and over again. Find the probability that the third blue ball is chosen on the fifth selection under the different assumptions: a) Balls are NOT returned to the urn after selection. b) Balls are returned to the urn after being selected.
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