Question

From 2012 to 2018 (including both) if a year is selected at random, the probability of having 365 days in that year is___.

• A. $\frac{2}{7}$
• B. $\frac{5}{7}$
• C. $\frac{3}{7}$
• D. $\frac{4}{7}$

Answer 1

The correct option is B

$\frac{5}{7}$

Normally a year has 365 days while a leap year has 366 days.

Total number of years from 2012 to 2018 = 7

Number of leap years in the given span = 2

$\therefore$ Number of non-leap years in the given span = 7-2

= 5

P(Y) = $\frac{\text{Number of favourable outcomes}}{\text{Total number of possible outcomes}}$

where, P(Y) is probability of getting a year with 365 days

= $\frac{5}{7}$