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Choose the Correct Alternative Answer for the Following Question. What is the Probability of the Event that a Number Chosen from 1 to 100 Is A Prime Number ? - Algebra

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Question

Choose the correct alternative answer for the following question.

 What is the probability of the event that a number chosen from 1 to 100 is a prime number ?

Options

  • `1/5  `

  • `6/25 `

  • ` 1/4`

  • `13/50` 

MCQ

Solution

Sample Space (S) = {1, 2, ......, 100}
∴ n(S) = 100
Event A: a prime number
A = {2, 3, 5,.....97}
∴ n(A) = 25

`therefore P(A) = (n(A))/(n(S))`

`=25/100`

`=1/4`

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Chapter 5: Probability - Problem Set 5 [Page 126]

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