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 235th shelf. What is the probability that Arjun also is allotted a locker in the 235th shelf?

A

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B

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C

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D

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Solution

## The correct option is B It is given that Ram is alloted a locker in the 235th 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 ∴ P(Arjun being alloted a locker on the same shelf as Ram) = 1300

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