6. A consulting firm has received 2 NBA playoff tickets from one of its clients. To be fair, the firm is randomly selecting two different employee names to "win" the tickets. There are 10 secretaries, 5 consultants and 3 partners in the firm. Which of the following statements is not true? A) The probability of a secretary winning a ticket on the first draw is 5/9. B) The probability of a secretary winning a ticket on the second draw given that a consultant won a ticket on the first draw is 10/17. C) The probability of a consultant winning a ticket on the first draw is 5/18. D) The probability of a consultant winning a ticket on the second draw given that a consultant won a ticket on the first draw is 4/17. E) The probability of a partner winning a ticket on the second draw given that a consultan won a ticket on the first draw is 2/17.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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6. A consulting firm has received 2 NBA playoff tickets from one of its clients. To be
fair, the firm is randomly selecting two different employee names to "win" the tickets.
There are 10 secretaries, 5 consultants and 3 partners in the firm. Which of the
following statements is not true?
A) The probability of a secretary winning a ticket on the first draw is 5/9.
B) The probability of a secretary winning a ticket on the second draw given that a
consultant won a ticket on the first draw is 10/17.
C) The probability of a consultant winning a ticket on the first draw is 5/18.
D) The probability of a consultant winning a ticket on the second draw given that a
consultant won a ticket on the first draw is 4/17.
E) The probability of a partner winning a ticket on the second draw given that a consultant
won a ticket on the first draw is 2/17.
Transcribed Image Text:6. A consulting firm has received 2 NBA playoff tickets from one of its clients. To be fair, the firm is randomly selecting two different employee names to "win" the tickets. There are 10 secretaries, 5 consultants and 3 partners in the firm. Which of the following statements is not true? A) The probability of a secretary winning a ticket on the first draw is 5/9. B) The probability of a secretary winning a ticket on the second draw given that a consultant won a ticket on the first draw is 10/17. C) The probability of a consultant winning a ticket on the first draw is 5/18. D) The probability of a consultant winning a ticket on the second draw given that a consultant won a ticket on the first draw is 4/17. E) The probability of a partner winning a ticket on the second draw given that a consultant won a ticket on the first draw is 2/17.
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