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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 - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC offline past questions - with all answers and explanations in one app - Download for free
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995