Question

Find the probability of having $5$ Sundays in the month of February in leap years $2004$.

• A. $\frac{2}{7}$
• B. $0$
• C. $\frac{1}{7}$
• D. $1$

Answer 1

Answer: (C)

$\frac{1}{7}$

$2004$ is a leap year
$\therefore$ There is $29$ days in February, no. 7 days $=1$ week
$\therefore$ $4$ week $=7\times 4$ days $=28$ days
$\therefore$ $29-28=1$ days is remained.
This one day may be {Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday}
If the remaining day is Sunday then there is $5$ Sundays in February.
$\therefore$ The required probability $=\frac{1}{7}$