An urn contains four red balls, two green balls, and
three yellow balls. Three balls will be drawn from the urn, one at
a time, at random.
If the balls are drawn without replacement, what is the probability
that the first is red, the second is green, and the third is
yellow?
If the balls are drawn with replacement, what is the probability
the first is red, the second is green, and the third is yellow?
An urn contains four red balls, two green balls, and three yellow balls. Three balls will...
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?
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...
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 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
An urn contains 5 blue balls, 3 yellow balls and 2 red balls. Three balls are drawn without replacement. (i) What is the probability that all three balls are blue? (ii) What is the probability that two balls are blue and one ball is yellow? (iii) What is the probability that at least one of the balls is blue?
13 yellow balls and 14 red balls are placed in an urn. Two balls are then drawn in succession without replacement. What is the probability that the first ball drawn is a red ball if the second ball drawn is yellow? a) 1.0000 b) 0.5556 c) 0.5385 d) 0.4815 e) 0.1378 f) None of the above.
Urn A contains two red balls and eight blue balls. Urn B contains two red balls and ten green balls. Six balls are drawn from urn A and four are drawn from urn B; in each case, each ball is replaced before the next one is drawn. What is the most likely number of blue balls to be drawn? What is the most likely number of green balls to be drawn?
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?
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.)
53.An urn contains six red balls and five blue balls. Four balls are drawn at random, without replacement. (a) What is the probability that all four balls are red? (Round your answer to four decimal places.) (b) What is the probability that two of the balls are red and two are blue? (Round your answer to four decimal places.)