Computer Science Engineering (CSE) Exam  >  Computer Science Engineering (CSE) Questions  >  Given a hash table with n keys and m slots wi... Start Learning for Free
Given a hash table with n keys and m slots with simple uniform hashing. If collisions are resolved by chaining then what is the probability that the first slot ends up empty?
  • a)
    (1 / m)n
  • b)
    [1 – (1/m)]n
  • c)
    (1/n)m
  • d)
    [1 – (1/n)]m
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Given a hash table with n keys and m slots with simple uniform hashing...
Probability of one particular slot = 1/m ( because total m slots) Probability that a value should not go in one particular slot = 1 – (1/m) For n values (keys) probability = [1 – (1/m)]n
View all questions of this test
Most Upvoted Answer
Given a hash table with n keys and m slots with simple uniform hashing...
- (1 / m)n
c)[1 - (1 / m)]n
d)[1 - (1 / m)](n-1)

The correct answer is d) [1 - (1 / m)](n-1).

Explanation:
In simple uniform hashing, each key has an equal probability of being hashed into any of the m slots. Therefore, the probability that a specific key is hashed into the first slot is 1 / m.

If there are n keys, the probability that all n keys are hashed into slots other than the first slot is (1 - (1 / m))n. This is because for each key, there is a probability of 1 - (1 / m) that it will not be hashed into the first slot.

However, we want to find the probability that the first slot ends up empty. This means that all n keys are hashed into slots other than the first slot, except for one slot that remains empty. Therefore, we need to subtract the probability of all n keys being hashed into slots other than the first slot from the total probability of all n keys being hashed into any slot.

The probability that the first slot ends up empty is [1 - (1 / m)](n-1). This is because out of the n keys, one key will be hashed into the first slot, and the remaining n-1 keys will be hashed into slots other than the first slot.

Therefore, the correct answer is d) [1 - (1 / m)](n-1).
Explore Courses for Computer Science Engineering (CSE) exam

Top Courses for Computer Science Engineering (CSE)

Given a hash table with n keys and m slots with simple uniform hashing. If collisions are resolved by chaining then what is the probability that the first slot ends up empty?a)(1 / m)nb)[1 – (1/m)]nc)(1/n)md)[1 – (1/n)]mCorrect answer is option 'B'. Can you explain this answer?
Question Description
Given a hash table with n keys and m slots with simple uniform hashing. If collisions are resolved by chaining then what is the probability that the first slot ends up empty?a)(1 / m)nb)[1 – (1/m)]nc)(1/n)md)[1 – (1/n)]mCorrect answer is option 'B'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Given a hash table with n keys and m slots with simple uniform hashing. If collisions are resolved by chaining then what is the probability that the first slot ends up empty?a)(1 / m)nb)[1 – (1/m)]nc)(1/n)md)[1 – (1/n)]mCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given a hash table with n keys and m slots with simple uniform hashing. If collisions are resolved by chaining then what is the probability that the first slot ends up empty?a)(1 / m)nb)[1 – (1/m)]nc)(1/n)md)[1 – (1/n)]mCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Given a hash table with n keys and m slots with simple uniform hashing. If collisions are resolved by chaining then what is the probability that the first slot ends up empty?a)(1 / m)nb)[1 – (1/m)]nc)(1/n)md)[1 – (1/n)]mCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Computer Science Engineering (CSE). Download more important topics, notes, lectures and mock test series for Computer Science Engineering (CSE) Exam by signing up for free.
Here you can find the meaning of Given a hash table with n keys and m slots with simple uniform hashing. If collisions are resolved by chaining then what is the probability that the first slot ends up empty?a)(1 / m)nb)[1 – (1/m)]nc)(1/n)md)[1 – (1/n)]mCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Given a hash table with n keys and m slots with simple uniform hashing. If collisions are resolved by chaining then what is the probability that the first slot ends up empty?a)(1 / m)nb)[1 – (1/m)]nc)(1/n)md)[1 – (1/n)]mCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Given a hash table with n keys and m slots with simple uniform hashing. If collisions are resolved by chaining then what is the probability that the first slot ends up empty?a)(1 / m)nb)[1 – (1/m)]nc)(1/n)md)[1 – (1/n)]mCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Given a hash table with n keys and m slots with simple uniform hashing. If collisions are resolved by chaining then what is the probability that the first slot ends up empty?a)(1 / m)nb)[1 – (1/m)]nc)(1/n)md)[1 – (1/n)]mCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Given a hash table with n keys and m slots with simple uniform hashing. If collisions are resolved by chaining then what is the probability that the first slot ends up empty?a)(1 / m)nb)[1 – (1/m)]nc)(1/n)md)[1 – (1/n)]mCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Computer Science Engineering (CSE) tests.
Explore Courses for Computer Science Engineering (CSE) exam

Top Courses for Computer Science Engineering (CSE)

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev