Question

In an interview conducted for $5$ ABC Consulting candidates, $6$ Global Ltd. candidates, $2$candidates from Avilvar company, $3$ from Sona Ltd and one from Bent company, what is the probability that the candidate who would be selected is from Sona Ltd. (It is given that one candidate from Global Ltd. had not come for the interview round and one candidate from ABC Consulting got blacklisted during the interview process.​)

Answer 1

Find the required probability

Given,

Number of Candidates from ABC $=5$ candidates

Number of Candidates from Global Ltd $=6$ candidates

Number of Candidates from Avilvar Company $=2$ candidates

Number of Candidates from Sona Ltd $=3$ candidates

Number of Candidates from Bent Company $=1$ candidates

The total number of candidates$=17$ candidates

Number of candidates were disqualified or not come for interview$=2$ candidates

So, the total number of qualified applicants for selection$=$(The total number of candidates)$-$ (No of candidates disqualified or not come for interview)

$=17-2$

$=15$ candidates

Therefore,

the probability that the selected applicant is from Sona Ltd $=\frac{\mathrm{Number}\mathrm{of}\mathrm{Candidates}\mathrm{from}\mathrm{SONA}\mathrm{LTD}}{\mathrm{The}\mathrm{total}\mathrm{number}\mathrm{of}\mathrm{qualified}\mathrm{applicants}\mathrm{for}\mathrm{selection}}$

$$\begin{gathered} =\frac{3}{15} \\ =\frac{1}{5} \end{gathered}$$

Hence, the probability that the selected applicant is from Sona Ltd is $\frac{1}{5}$.