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NDA 2022
Exam
NDA
Year
2022
Subject
Mathematics
Chapter
Probability

NDA 2022 · Mathematics · Probability

What is the probability of getting a composite number in the list...

What is the probability of getting a composite number in the list of natural numbers from 1 to 50 ?

Options

  1. A710\frac{7}{10}
  2. B1725\frac{17}{25}
  3. C1825\frac{18}{25}
  4. D3350\frac{33}{50}

Correct answer

B. 1725\frac{17}{25}

Step-by-step solution

Prime number between 1 to 50 are 2,3,5,7,11,132,3,5,7,11,13, 17,19,23,29,31,37,41,43,471isnotprimeandcompositenumber.17,19,23,29,31,37,41,43,47 1 is not prime and composite number.\therefore \quadTotalnumberofcompositenumberbetweenTotal number of composite number between=50-16=34\therefore \quadProbability=3450=1725Probability =\frac{34}{50}=\frac{17}{25}
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