Suppose you have to select one project partner from a set of four classmates, who have different GPAs. Assume you do not know any student’s GPA in advance but can get to know it after you have picked a student from that group (a) Suppose you pick one of the four students at random and accept that student as your project partner. What is the probability that your partner is the one with the highest GPA? (b) Suppose you decide to reject the first student and to then accept the next student if and only if that student has a higher GPA. Note that you MUST have a partner, so if the first three are rejected by you, then you have to accept the fourth student. What is the probability that your partner will be the one with the highest GPA.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Suppose you have to select one project partner from a set of four classmates, who have different GPAs. Assume you do not know any student’s GPA in advance but can get to know it after you have picked a student from that group
(a) Suppose you pick one of the four students at random and accept that student as your project partner. What is the probability that your partner is the one with the highest GPA?
(b) Suppose you decide to reject the first student and to then accept the next student if and
only if that student has a higher GPA. Note that you MUST have a partner, so if the first three are rejected by you, then you have to accept the fourth student. What is the probability that your partner will be the one with the highest GPA.
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