Nurul puts his dresses in a chest of drawer. First drawer contains 18 black shirts and 7 white shirts. Second drawer contains 23 black pants and 9 white pants. Third drawer contains 11 black ties and 13 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
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Nurul puts his dresses in a chest of drawer. First
drawer contains 18 black shirts and
7 white shirts. Second drawer contains
23 black pants and 9 white pants. Third drawer
contains 11 black ties and 13 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 18 black shirts and 7 white shirts. Second drawer contains 23 black pants and 9 white pants. Third drawer contains 11 black ties and 13 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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