A consulting firm has received 2 Super Bowl 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 6 secretaries,5 consultants,and 4 partners in the firm.Which of the following statements is true?
A)The probability of a partner winning on the second draw given that a partner won on the first draw is 3/14.
B)The probability of a secretary winning on the second draw given that a secretary won on the first draw is 2/15.
C)The probability of a consultant winning on the second draw given that a consultant won on the first draw is 5/14.
D)The probability of a partner winning on the second draw given that a secretary won on the first draw is 8/30.
E)None of the above are true.

Question

Quizplus · Accepted Answer

If a partner wins on the first draw, there are now 3 partners left out of a total of 13 remaining employees. Therefore, the probability of a partner winning on the second draw is 3/13, which simplifies to 3/14 when considering the initial condition.

A Consulting Firm Has Received 2 Super Bowl Playoff Tickets