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 was the first
one
(b) the probability that the urn selected was the second one
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An urn contains 4 white balls and 6 red balls. A second urn
contains 6 white...
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....
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)
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?
1. An urn initially contains 6 red and 8 green balls. Each time a ball is...
1. An urn initially contains 6 red and 8 green balls. Each time
a ball is selected, its color is recorded, and it is replaced in
the urn along with 2 other balls of the same color. Compute the
probability that:
(a) The first 2 balls selected are green and the next 2 are
red?
(b) Of the first 4 balls selected, exactly 2 are green?
(c) If the second ball selected is green, what is the
probability that the...
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...
Urn A contains seven white balls and four black balls. Urn B contains six white balls...
Urn A contains seven white balls and four black balls. Urn B contains six white balls and three black balls. A ball is drawn from Urn A and then transferred to Urn B. A ball is then drawn from Urn B. What is the probability that the transferred ball was black given that the second ball drawn was black? (Round your answer to three decimal places.)
Urn A contains four white balls and six black balls. Urn B contains three white balls...
Urn A contains four white balls and six black balls. Urn B
contains three white balls and seven black balls. A ball is drawn
from Urn A and then transferred to Urn B. A ball is then drawn from
Urn B. What is the probability that the transferred ball was black
given that the second ball drawn was black? (Round your answer to
three decimal places.)
n transferred to Urn A contains four white halls and six hlack balls. Urn...
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...
Suppose that an urn contains 10 red balls and 4 white balls. Supposed 3 balls are...
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.
3. Given an urn containing 2 green, 3 white, and 4 red balls. If two balls...
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
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....
1. An urn initially contains 6 red and 8 green balls. Each time
a ball is selected, its color is recorded, and it is replaced in
the urn along with 2 other balls of the same color. Compute the
probability that:
(a) The first 2 balls selected are green and the next 2 are
red?
(b) Of the first 4 balls selected, exactly 2 are green?
(c) If the second ball selected is green, what is the
probability that the...
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...
Urn A contains four white balls and six black balls. Urn B
contains three white balls and seven black balls. A ball is drawn
from Urn A and then transferred to Urn B. A ball is then drawn from
Urn B. What is the probability that the transferred ball was black
given that the second ball drawn was black? (Round your answer to
three decimal places.)
n transferred to Urn A contains four white halls and six hlack balls. Urn...
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.
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