(1 point) Since 42 is prime, there are exactly primitive roots (mod 42). If you

Question

(1 point) Since 42 is prime, there are exactly primitive roots (mod 42). If you select a random integer from the reduced residue system (mod 42): . The probability that your integer is a primitive root is The probability that your integer is not a primitive root is If you independently select 5 random integers from the reduced residue system (mod 42) The probability that none of your integers is a primitive root (mod 42) is The probability that at least one of your integers is a primitive root (mod 42) is

Explanation / Answer

I think question is wrong as 42 is not a prime number. Only even prime number is 2. 42=2×3×7.

Thus 42 is not a prime number and 42 has no primitive root. Thus 42 has 0 primitive root.

Thus the probability any integer is a primitive root is 0 and the probability that it is not a primitive root is 1.

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