Q98 / 155 · WBJEE 2025 · Mathematics

The probability that a non-leap year selected at random will have 53 Sundays or 53 Saturdays is

A
$\frac{1}{7}$
Correct answer
B
$\frac{2}{7}$
C
$1$
D
$\frac{2}{365}$

Solution

No. days $=365=52$ weeks +1 extra day $\begin{aligned} & \quad\{\mathrm{S}, \mathrm{M}, \mathrm{~T}, \mathrm{~W}, \text { Th, F, Sat }\} \\ & \mathrm{P}((53 \mathrm{~S}) \mathrm{U}(53 \text { Sat }))=\mathrm{P}(\text { Sat })+\mathrm{P}(\mathrm{~S}) \\ & =\frac{1}{7}+\frac{1}{7}=\frac{2}{7} \end{aligned}$

Hence, the correct answer is option: 'B'.

Relevant Questions

Consider the sequence of numbers . A person choose three numbers at random from the sequence. The probability that the chosen three number f2026Classical Definition of Probability
Four natural numbers selected at random are multiplied together, then the probability that the digit in the unit's place in the product be 12026Classical Definition of Probability
Two smallest squares are chosen one by one on a chess board. The probability that they have a side in common is2024Classical Definition of Probability
Let $S$ be the sample space of the random experiment of throwing simultaneously two unbiased dice and $E_k=\{a, b) $ $S: a b=k\}$. If 2023Classical Definition of Probability
A determinant is chosen at random from the set of all determinants of order 2 with elements 0 or 1 only. The probability that the determinan2022Classical Definition of Probability
Four persons and throw an unbiased die, turn by turn in succession till one gets an even number and win the game. What is the probability th2021Classical Definition of Probability