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A space can hold x number of records in its memory. This space is utilised by a hash function to distribute records one by one randomly. Find the probability of the mth record to be the first record to result in collision.
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A space can hold x number of records in its memory. This space is util...
Probability for the first record not colliding is x/x.
Probability for the second record not colliding is .
(This is because one place is already occupied. So, favourable number of cases is x - 1.)
Probability for the third record not colliding is .
Probability for the (m - 1)th record not colliding is .
Now, the next mth record is resulting in a collision. Out of the  places, it should hash to one of the (m – 1) places already filled. So, the probability is .
The required probability is .
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A space can hold x number of records in its memory. This space is utilised by a hash function to distribute records one by one randomly. Find the probability of the mth record to be the first record to result in collision.a)b)c)d)Correct answer is option 'D'. Can you explain this answer?
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