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A positive integer divisor of 11 is chosen at random. What is the probability that this divisor is prime? Express your answer as a common fraction. 

 Jul 9, 2022
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A positive integer divisor of 11 is chosen at random.     

What is the probability that this divisor is prime?     

Express your answer as a common fraction.     

 

11 is prime, therefore its only divisors are 1 and 11.     

By the definition of prime, 1 is not a prime number.     

That leaves 11 as the only positive divisor of 11.     

The probability of choosing 11 at random out of all numbers is                             1     

                                                                                                            ––––––––––––––––––––     

                                                                                                             every integer that exists     

.     

 Sep 5, 2025

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