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Three balls are simultaneously drawn from a bag containing 3 white balls (numbered 1 to 3), 5 red balls (numbered 1 to 5) and 6 black balls (numbered 1 to 6). (a) What is the probability that the three balls have the same colour? (b) What is the probability that two of the drawn balls have the same colour while the other ball has a different colour? (c) What is the probability that the three balls have distinct colours?

Three balls are simultaneously drawn from a bag containing 3 white balls (numbered 1 to 3), 5 red balls (numbered 1 to 5) and 6 black balls (numbered 1 to 6). (a) What is the probability that the three balls have the same colour? (b) What is the probability that two of the drawn balls have the same colour while the other ball has a different colour? (c) What is the probability that the three balls have distinct colours?

A First Course in Probability (10th Edition)
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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Three balls are simultaneously drawn from a bag containing 3 white balls (numbered 1 to 3), 5 red balls (numbered 1 to 5) and 6 black balls (numbered 1 to 6). (a) What is the probability that the three balls have the same colour? (b) What is the probability that two of the drawn balls have the same colour while the other ball has a different colour? (c) What is the probability that the three balls have distinct colours? (d) What is the probability that the three balls show the same number? (e) What is the probability that two of the drawn balls show the same number while the other ball shows another number? (f) What is the probability that the three balls show distinct numbers?
Transcribed Image Text:Three balls are simultaneously drawn from a bag containing 3 white balls (numbered 1 to 3), 5 red balls (numbered 1 to 5) and 6 black balls (numbered 1 to 6). (a) What is the probability that the three balls have the same colour? (b) What is the probability that two of the drawn balls have the same colour while the other ball has a different colour? (c) What is the probability that the three balls have distinct colours? (d) What is the probability that the three balls show the same number? (e) What is the probability that two of the drawn balls show the same number while the other ball shows another number? (f) What is the probability that the three balls show distinct numbers?
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