Nurul puts his dresses in a chest of drawer. First drawer contains 17 black shirts and 16 white shirts . Second drawer contains 14 black pants and 21 white pants . Third drawer contains 13 black ties and 7 white ties . When dressing up, he takes one item at random from each drawer. (So he ends up with one shirt, one pant and one tie). i. What is the probability that all dress items are black? [Give your answer upto 4 decimal places] ii.What is the probability that all dress items are of same color ? [Give your answer upto 4 decimal places]

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Nurul puts his dresses in a chest of drawer. First
drawer contains 17 black shirts and
16 white shirts . Second drawer contains
14 black pants and 21 white pants . Third
drawer contains 13 black ties and
7 white ties . When dressing up, he takes one
item at random from each drawer. (So he ends
up with one shirt, one pant and one tie).
i. What is the probability that all dress items are
black? [Give your answer upto 4 decimal places]
ii.What is the probability that all dress items are
of same color ? [Give your answer upto 4
decimal places]
Transcribed Image Text:Nurul puts his dresses in a chest of drawer. First drawer contains 17 black shirts and 16 white shirts . Second drawer contains 14 black pants and 21 white pants . Third drawer contains 13 black ties and 7 white ties . When dressing up, he takes one item at random from each drawer. (So he ends up with one shirt, one pant and one tie). i. What is the probability that all dress items are black? [Give your answer upto 4 decimal places] ii.What is the probability that all dress items are of same color ? [Give your answer upto 4 decimal places]
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