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The probability that a number selected at random from the first 50 natural numbers is a composite number is -.

  • A.21/25
  • B.17/25
  • C.4/25
  • D.8/25

Answer: B

Split the first 50 natural numbers into three groups: the number 1, the primes, and the composites.

\[ \text{primes up to 50} = 15 \]

\[ \text{composites} = 50 - 15 - 1 = 34 \]

\[ P = \frac{34}{50} = \frac{17}{25} \]

1 is neither prime nor composite, so it must be excluded separately - forgetting it gives 35 and \( \tfrac{7}{10} \).

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