There are 5 white and 3 black marbles in box A, 4 white and 5 black marbles in box B, 3 white and 7 black marbles in box C. a) A marble is drawn from each box at random. Calculate the probability that among the marbles drawn, there are 1 white and 2 black marbles. b) One box is chosen randomly and 4 marbles are drawn from the box without replacement. What is the probability that among the marbles drawn, there is at least one marble of each color? c) A marble is drawn randomly from box A and then it is placed in box B. Then a marble is drawn randomly from box B and then it is placed in box C. After that, a marble is drawn from box C at random. What is the probability that the marble drawn from box C is white?
There are 5 white and 3 black marbles in box A, 4 white and 5 black marbles in box B, 3 white and 7 black marbles in box C. a) A marble is drawn from each box at random. Calculate the probability that among the marbles drawn, there are 1 white and 2 black marbles. b) One box is chosen randomly and 4 marbles are drawn from the box without replacement. What is the probability that among the marbles drawn, there is at least one marble of each color? c) A marble is drawn randomly from box A and then it is placed in box B. Then a marble is drawn randomly from box B and then it is placed in box C. After that, a marble is drawn from box C at random. What is the probability that the marble drawn from box C is white?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CT: Chapter Test
Problem 29CT
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Transcribed Image Text:There are 5 white and 3 black marbles in box A, 4 white and 5 black marbles in box B, 3
white and 7 black marbles in box C.
a) A marble is drawn from each box at random. Calculate the probability that among
the marbles drawn, there are 1 white and 2 black marbles.
b) One box is chosen randomly and 4 marbles are drawn from the box without
replacement. What is the probability that among the marbles drawn, there is at least
one marble of each color?
c) A marble is drawn randomly from box A and then it is placed in box B. Then a
marble is drawn randomly from box B and then it is placed in box C. After that, a
marble is drawn from box C at random. What is the probability that the marble
drawn from box C is white?
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