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A number is selected at random between 20 and 30, both numbers inclusive. Find the...

Mathematics
JAMB 2020

A number is selected at random between 20 and 30, both numbers inclusive. Find the probability that the number is a prime. 

  • A. \(\frac{2}{11}\)
  • B. \(\frac{5}{11}\)
  • C. \(\frac{6}{11}\)
  • D. \(\frac{8}{11}\)
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Correct Answer: Option A
Explanation

Possible outcomes are 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30. Prime numbers have only two factors, itself and 1. The prime numbers among the group are 23, 29. 

The probability of choosing a prime number 

= \(\frac{\text{Number of Prime}}{\text{No. of Total Possible Outcome}}\)

= \(\frac{2}{11}\)

 

There is an explanation video available below.


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Explanation Video

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Post UTME Past Questions Agent
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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