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Mustafiz has 83 balls which are labeled with the numbers from 1 to 83. He draws out a ball from the bag, records down the number and then puts it back in the bag. He does this a total of 3 times (hence has 3 numbers). Now answer the following questions. i. What is the probability that all the numbers are different? [Give your answer upto 4 decimal places] ii. What is the probability that at least 2 of the numbers are equal? [Give your answer upto 4 decimal places]

Mustafiz has 83 balls which are labeled with the numbers from 1 to 83. He draws out a ball from the bag, records down the number and then puts it back in the bag. He does this a total of 3 times (hence has 3 numbers). Now answer the following questions. i. What is the probability that all the numbers are different? [Give your answer upto 4 decimal places] ii. What is the probability that at least 2 of the numbers are equal? [Give your answer upto 4 decimal places]

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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Mustafiz has 83 balls which are labeled with the numbers from 1 to 83. He draws out a ball from the bag, records down the number and then puts it back in the bag. He does this a total of 3 times (hence has 3 numbers). Now answer the following questions. i. What is the probability that all the numbers are different? [Give your answer upto 4 decimal places] ii. What is the probability that at least 2 of the numbers are equal? [Give your answer upto 4 decimal places]
Transcribed Image Text:Mustafiz has 83 balls which are labeled with the numbers from 1 to 83. He draws out a ball from the bag, records down the number and then puts it back in the bag. He does this a total of 3 times (hence has 3 numbers). Now answer the following questions. i. What is the probability that all the numbers are different? [Give your answer upto 4 decimal places] ii. What is the probability that at least 2 of the numbers are equal? [Give your answer upto 4 decimal places]
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