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?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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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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