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A hash table can store a maximum of 10 records. Currently there are records in locations 1, 3, 4, 7, 8, 9, 10. The probability of a new record going into location 2, with a has function resolving collisions by linear probing is
  • a)
    0.6
  • b)
    0.1
  • c)
    0.2
  • d)
    0.5
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A hash table can store a maximum of 10 records. Currently there are re...
If the new record hashes onto one of the six locations 7, 8, 9, 10, 1 or 2, the location 2 will receive the new record. The probability is 6/10 (as 10 is the total possible number of locations).
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A hash table can store a maximum of 10 records. Currently there are re...
Hash Table and Linear Probing

In computer science, a hash table is a data structure that stores key-value pairs. It uses a hash function to compute an index into an array of buckets or slots, from which the desired value can be found. If there are collisions, where multiple keys map to the same index, linear probing can be used to resolve them.

The Given Scenario

According to the given scenario, a hash table can store a maximum of 10 records. Currently, there are records in locations 1, 3, 4, 7, 8, 9, 10. We need to determine the probability of a new record going into location 2, considering collisions are resolved using linear probing.

Linear Probing

Linear probing is a collision resolution technique where, if a collision occurs, the next available slot is searched linearly until an empty slot is found. In this case, it means that if a record cannot be inserted into its original hash location, it will probe the subsequent locations until an empty slot is found.

Determining the Probability

To calculate the probability of a new record going into location 2, we need to consider the number of occupied slots before location 2 and the total number of slots in the hash table.

In this scenario, we have 7 occupied slots before location 2 (1, 3, 4, 7, 8, 9, 10). We also have a total of 10 slots in the hash table.

Probability Calculation

The probability of a new record going into location 2 can be calculated using the formula:

Probability = Number of favorable outcomes / Total number of possible outcomes

In this case, the favorable outcome is the new record going into location 2, and the total number of possible outcomes is the total number of slots (10).

Number of favorable outcomes = 1 (as the new record can only go into location 2)
Total number of possible outcomes = 10

Therefore, the probability of a new record going into location 2 is:

Probability = 1 / 10 = 0.1

Hence, the correct answer is option 'B' (0.1), not option 'A' as mentioned.
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A hash table can store a maximum of 10 records. Currently there are re...
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A hash table can store a maximum of 10 records. Currently there are records in locations 1, 3, 4, 7, 8, 9, 10. The probability of a new record going into location 2, with a has function resolving collisions by linear probing isa)0.6b)0.1c)0.2d)0.5Correct answer is option 'A'. Can you explain this answer?
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