Nurul puts his dresses in a chest of drawer. First drawer contains 21 black shirts and 25 white shirts. Second drawer contains 23 black pants and 24 white pants. Third drawer contains 10 black ties and 5 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 21 black shirts and 25 white shirts. Second drawer contains 23 black pants and 24 white pants. Third drawer contains 10 black ties and 5 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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