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A number is selected at random from 0 to 20. What is the probability that...

Mathematics
JAMB 1999

A number is selected at random from 0 to 20. What is the probability that the number is odd?

  • A. \(\frac{8}{21}\)
  • B. \(\frac{1}{3}\)
  • C. \(\frac{2}{7}\)
  • D. \(\frac{5}{21}\)
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Correct Answer: Option B
Explanation

The numbers from 0 to 20 inclusive are:  
   0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20.  
   Total numbers = 21

Odd prime numbers in this range:  
   Primes must be greater than 1 and have no divisors other than 1 and themselves.  
   Odd primes (exclude 2, which is even):  
   3, 5, 7, 11, 13, 17, 19
   → There are 7 odd prime numbers.

3. Probability = \(\frac{\text{Number of favourable outcomes}}{\text{Total outcomes}}\)
   = \(\dfrac{7}{21} = \dfrac{1}{3}\)


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