Question

The probability that randomly selected positive integer is relatively prime to 6

• A. $\frac{1}{2}$
• B. $\frac{1}{3}$
• C. $\frac{1}{6}$
• D. $\frac{5}{6}$

Answer 1

The correct option is B $\frac{1}{3}$

Among every 6-consecutive integers one divisible by 6 and other integers leaves remainders 1,2,3,4,5 when divided by 6
The numbers which leave the remainder 1 and 5 are relatively prime to 6
Required probability $\frac{2}{6}=\frac{1}{3}$