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an urn contains 8 balls numbered 1 to 8 four balls are drawn without replacement suppose x is the second smallest of
matching problem case of sampling without replacement show that for j 1 m the conditional probability of a match in
a sampling or coupon collecting problem consider an urn that contains rm balls for given integers rand m suppose that
if 7 indistinguishable balls are distributed among 10 urns in such a way that not more than 1 ball may be put in any
if 10 distinguishable balls are distributed among 4 urns in such a way that all arrangements are equally likely what is
in the milk section of a self-service market there are 150 quarts 100 of which are fresh and 50 of which are a day old
the student body of a certain college is composed of 60 men and 40 women the following proportions of the students
consider an urn containing 12 balls of which 8 are white let a sample of size 4 be drawn with replacement without
consider 3 urns urn i contains 2 white and 4 red balls urn ii contains 8 white and 4 red balls urn iii contains 1 white
consider an urn in which 4 balls have been placed by the following scheme a fair coin is tossed if the coin falls heads
a man draws a sample of 3 cards one at a time without replacement from a pile of 8 cards consisting of the 4 aces and
consider 4 cards on each of which is marked off a side i and side 2 on card i both side i and side 2 are colored red on
a die is loaded in such a way that the probability of a given number turning up is proportional to that number for
a certain young woman has 3 men friends she is told by a fortune teller that she will be married twice and that both
a fisherman caught 10 fish 3 of which were smaller than the law permits to be caught a game warden inspects the catch
a professional magician named sebastian claimed to be able to read minds in order to test his claims an experiment is
find approximately the probability that a sample of 100 items drawn from a lot of 1 000 items contains 1 or fewer
the contract between a manufacturer of electrical equipment such as resistors or condensors and a purchaser provides
consider an electric fixture such as christmas tree lights containing 5 electric light bulbs which are connected so
from a committee of 3 romans 4 babylonians and 5 philistines a subcommittee of 4 is selected by lot find the
consider a town in which there are 3 plumbers on a certain day 4 residents telephone for a plumber if each resident
six persons among whom are a and b are arranged at random i in a row ii in a ring what is the probability that a a and
an urn contains m balls of which mw are white n balls are drawn and laid aside not replaced in the urn their color
an urn contains 3 red balls 4 white balls and 5 blue balls another urn contains 5 red balls 6 white balls and 7 blue
an urn contains 6 balls numbered 1 to 6 find the probability that 2 balls drawn from the urn with replacement without