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.
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
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every integer that exists
.