What is the formula to find the expected number of probes for an unsuccessful search in linear probing?(a) \(\frac{1}{2} \frac{1+1}{(1-⅄)}\)(b) \(\frac{1}{2}\frac{1+1}{(1-⅄)^2}\)(c) \(\frac{1}{2}\frac{1+1}{(1+⅄)}\)(d) \(\frac{1}{2}\frac{1+1}{(1+⅄)(1-⅄)}\)My question is based upon Hash Tables in section Hash Tables of Data Structures & Algorithms II got this question during an online interview.

What is the formula to find the expected number of probes for an unsuc

1.	What is the formula to find the expected number of probes for an unsuccessful search in linear probing?(a) \(\frac{1}{2} \frac{1+1}{(1-⅄)}\)(b) \(\frac{1}{2}\frac{1+1}{(1-⅄)^2}\)(c) \(\frac{1}{2}\frac{1+1}{(1+⅄)}\)(d) \(\frac{1}{2}\frac{1+1}{(1+⅄)(1-⅄)}\)My question is based upon Hash Tables in section Hash Tables of Data Structures & Algorithms II got this question during an online interview.
Answer» The CORRECT option is (b) \(\frac{1}{2}\frac{1+1}{(1-⅄)^2}\) The BEST I can explain: The mathematical FORMULA for calculating the number of probes for an UNSUCCESSFUL search is \(\frac{1}{2}\frac{1+1}{(1-⅄)^2}\). For INSERTION, it is \(\frac{1}{2} \frac{1+1}{(1-⅄)}\).

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