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Consider the hashing table with 'm' slots and 'n' keys. If the expected number of probes in unsuccessful search is 3. The expected number of probes in a successful search is_
in DS
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Expected number of probes in open addressing in case of an unsuccessful search = 1/(1-$\alpha$) , where $\alpha$ denotes the load factor i.e. n/m.

So 1/(1-$\alpha$) = 3

Hence, $\alpha$ = 2/3

Now, Expected number of probes in open addressing in case of an successful search = (1/$\alpha$)*ln(1/(1-$\alpha$))

Putting $\alpha$=2/3 in the above formula, we get the expected probes for successful search as 1.647.
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why have you considered double hashing formula here? And why not linear probing?
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This is the formula that is used for open addressing..
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thanks :)

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Now I think this question is incomplete , right @Somoshree Datta 5

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yes..they should have mentioned which hashing to use
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visit this link..they have given this formula for uniform probing, not double hashing..

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http://web.ist.utl.pt/fabio.ferreira/material/asa/clrs.pdf

Visit page 210 of CLRS..here also they gave this formula for open addressing..

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most of the questions of test series are incomplete 