Q. The probability that the 6th day of a randomly chosen month of a year is a Sunday, is

A) $\frac{1}{12}$
B) $\frac{1}{17}$
C) $\frac{1}{84}$
D) None of these
Explanation

(c)
Any month out of 12 months can be chosen with probability $\frac{1}{12}$
There are 7possiblle ways, in which the month can start and it will be a Sunday on 6th day, if the first day of the month is Tuesday, whose probability is $\frac{1}{7}$
$\therefore$ Required probability is $\frac{1}{7}$
$\therefore$ Required probability$= \frac{1}{12} \times \frac{1}{7} = \frac{1}{84}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.