The probability that a leap year selected at random will have 53 Mondays is
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → $\frac{2}{7}$ **
A leap year has 366 days = 52 weeks + 2 days
Thus, there are always 52 Mondays, and 53 Mondays occur only if one of the two extra days is Monday.
The two extra days can be: Sunday–Monday, Monday–Tuesday, Tuesday–Wednesday, Wednesday–Thursday, Thursday–Friday, Friday–Saturday, or Saturday–Sunday.
Out of these 7 possibilities, 2 include Monday (Sunday–Monday and Monday–Tuesday).
Hence, $P(\text{53 Mondays}) = \frac{2}{7}$
$\frac{2}{7}$