Question

There are 300 shelves in a gym. Each shelf has 2 lockers. The gym just opened today. Ram and Arjun are its first 2 customers. It is given that Ram is allotted one locker in the ${235}^{th}$ shelf. What is the probability that Arjun also is allotted a locker in the ${235}^{th}$ shelf?

• A. $\frac{299}{300}$
• B. $\frac{1}{300}$
• C. $\frac{1}{600}$
• D. $\frac{599}{600}$

Answer 1

The correct option is B

$\frac{1}{300}$

It is given that Ram is alloted a locker in the ${235}^{th}$ shelf.

Now Arjun also has to get a locker in the same shelf. There are 299 shelves left which are not taken by Ram.

Number of favourable outcomes = The number of shelves that Arjun got allotted = 1

Total number of outcomes = 300

$\therefore$ P(Arjun being alloted a locker on the same shelf as Ram) = $\frac{1}{300}$