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

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})
Correct Answer: Option A
Explanation

Possible outcomes are 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30. Prime numbers has only two factors
itself and 1
The prime numbers among the group are 23, 29. Probability of choosing a prime number
= (frac{text{Number of prime}}{text{No. of total Possible Outcomes}})
= (frac{2}{11})

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