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drawn from the urn in succession, with replacement. That is, after each draw, the selected ball...
An urn contains 9 white and 8 pink balls. Four balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the selected ball is returned to the urn. What is the probability that all 4 balls drawn from the urn are pink? Round your answer to three decimal places. (If necessary, consult a list of formulas.) 2
Three balls are randomly drawn from an urn that contains four white and seven red balls. (a) What is the probability of drawing a red ball on the third draw? (Round your answer to 3 decimal places.) (b) What is the probability of drawing a red ball on the third draw given that at least one red ball was drawn on the first two draws? (Round your answer to 3 decimal places.)
Assume that you are drawing two balls without replacement from an urn that contains 10 green balls, 5 blue balls, and 1 red balls. What is the probability that you will draw a blue ball and a green ball? (Hint There are two ways that this can happen.) The probability that you draw a blue ball and a green ball is Round to three decimal places as needed.) is
An urn contains four red balls, six black balls, and five green balls. If two balls are selected at random without replacement from the urn, what is the probability that a red ball and a black ball will be selected? (Round your answer to three decimal places.)
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...
1. From an urn, 10 balls with replacement are selected, the urn contains 14 white balls and 5 red balls. Calculate the probability that less than 3 red balls have come out. 2. From an urn, 10 balls are selected with replacement, the urn contains 14 white balls and 14 red balls. Calculate the probability that at least 3 red balls have come out. 3. From an urn 5 balls without replacement are selected, the urn contains 11 balls, of...
1. From an urn, 10 balls with replacement are selected, the urn contains 14 white balls and 5 red balls. Calculate the probability that less than 3 red balls have come out. 2. From an urn, 10 balls are selected with replacement, the urn contains 14 white balls and 14 red balls. Calculate the probability that at least 3 red balls have come out. 3. From an urn 5 balls without replacement are selected, the urn contains 11 balls, of...
Urn A contains 5 green and 3 red balls, and urn B contains 2 green and 6 red balls. One ball is drawn from urn A and transferred to Urn b. Then one ball is drawn from urn B and transferred to urn A. Let X=the number of green balls in urn A after this process. List the possible values for X and then find the entire probability distribution for X.
An urn contains 5 red balls and 2 green balls. Two balls are drawn one after the other with replacement. What is the proba- bility that the second ball is red?
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...