Mustafiz has 95 balls which are labeled with the numbers from 1 to 95. 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)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Mustafiz has 95 balls which are labeled with the numbers from 1 to 95. 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 95 balls which are labeled with the numbers from 1 to 95. 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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