Question 150

If a number is chosen at random from the first 58 natural numbers, then the probability that the number chosen is a prime number is

Solution

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The prime numbers in the first 58 natural numbers = 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53

Number of prime numbers in the first 58 natural numbers = 16

Hence probability = $$\frac{16}{58}$$ = $$\frac{8}{29}$$

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