There are 10 applicants for the director of computing. The applicants are interviewed independently by each member of the three-person search committee and ranked from 1 to 10. A candidate will be hired if he or she is ranked first by at least two of the three interviewers. Find the probability that a candidate will be accepted if the members of the committee really have no ability at all to judge the candidates and just rank the candidates randomly.

• 0.18
• 0.22
• 0.25
• 0.28
• 0.3

References

Doyle, Peter G. (2006). "Grinstead and Snell's Introduction to Probability" (PDF). Retrieved June 6, 2024.