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Find the probability that a number picked at random from the set(43, 44, 45, ......


Question

Find the probability that a number picked at random from the set(43, 44, 45, ..., 60) is a prime number.

Options

A) \(\frac{2}{3}\)

B) \(\frac{1}{3}\)

C) \(\frac{2}{9}\)

D) \(\frac{7}{9}\)

The correct answer is C.

Explanation:

Prime numbers = (43,47,53,59)
N = (43, 44, 45,..., 60)
The universal set contains 18 numbers.
The prime numbers between 43 and 60 are 4
Probability of picking a prime number = \(\frac{4}{18}\)
= \(\frac{2}{9}\)

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Dicussion (1)

  • Prime numbers = (43,47,53,59)
    N = (43, 44, 45,..., 60)
    The universal set contains 18 numbers.
    The prime numbers between 43 and 60 are 4
    Probability of picking a prime number = \(\frac{4}{18}\)
    = \(\frac{2}{9}\)

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