Probability
Suppose that there is a white urn containing three white balls and two red balls and there is a red urn containing two white balls and three 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. The probability that the second ball is red is...?
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Suppose that there is a white urn containing two white balls and three red balls and...
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...
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....
Conditional probability
An urn contains 3 red and 2 white balls. A ball is drawn and then it, and another ball of the same color are placed back in the urn. Finally, a second ball is drawn.What is the probability thata) second ball is white?b) If second ball is white, what is the probability that the first ball was red?c) both are white balls?
An urn contains 4 white balls and 6 red balls. A second urn contains 6 white...
An urn contains 4 white balls and 6 red balls. A second urn contains 6 white balls and 4 red balls. An urn is selected, and the probability of selecting the first urn is 0.8. A ball is drawn from the selected urn and replaced. Then another ball is drawn and replaced from the same urn. If both balls are white, what are the following probabilities? (Round your answers to three decimal places.) (a) the probability that the urn selected...
All work must be shown 19. An urn contains 30 balls identical in every respect except...
All work must be shown
19. An urn contains 30 balls identical in every respect except color. There are 15 red balls, 7 green balls, and 8 blue balls. You draw two balls from the urn (without replacing the first ball before drawing the second). Find the probability that the first ball is green and the second is blue. Express your answer as a decimal.
There are 4 white balls and 6 red balls in an urn. a. Two balls are...
There are 4 white balls and 6 red balls in an urn. a. Two balls are selected from the urn without replacement, what is the probability of getting 1 white ball in the first selection and 1 red ball in the second selection? b. If the selection is with replacement, what is the probability of getting 1 white ball in the first selection and 1 red ball in the second selection?
An urn initially contains r red balls and s black balls. A ball is selected at random but not rem...
An urn initially contains r red balls and s black balls. A ball is selected at random but not removed and a balls of the same color as the selection are added to the urn. The process is then repeated with a balls of one color or the other added to the urn at each epoch. With each addition the population of the urn increases by a and it is helpful to imagine that the (a) What is the probability...
1) Suppose that three balls are sampled without replacement from an urn containing 5 red balls...
1) Suppose that three balls are sampled without replacement from an urn containing 5 red balls and 5 green balls. Find the probability that the sample contains at least one ball of each color 2.) Suppose that a pair of fair dice is rolled and that all 36 outcomes are equally likely. Calculate the probability that the second die lands on a number greater than the first.
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...
Suppose that there are 2 red balls, 1 blue ball, and 2 white balls in an...
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.
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...
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....
All work must be shown
19. An urn contains 30 balls identical in every respect except color. There are 15 red balls, 7 green balls, and 8 blue balls. You draw two balls from the urn (without replacing the first ball before drawing the second). Find the probability that the first ball is green and the second is blue. Express your answer as a decimal.
An urn initially contains r red balls and s black balls. A ball is selected at random but not removed and a balls of the same color as the selection are added to the urn. The process is then repeated with a balls of one color or the other added to the urn at each epoch. With each addition the population of the urn increases by a and it is helpful to imagine that the (a) What is the probability...
1) Suppose that three balls are sampled without replacement from an urn containing 5 red balls and 5 green balls. Find the probability that the sample contains at least one ball of each color 2.) Suppose that a pair of fair dice is rolled and that all 36 outcomes are equally likely. Calculate the probability that the second die lands on a number greater than the first.
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...
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