A consulting firm has received 2 Super Bowl playoff tickets

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.

Solution

A.The probability of a partner winning on the second draw given that a partner won on the first draw is 3/14. [TRUE, ANSWER]

There are 6+5+4 = 15 people here.

The first ticket is drawn and won by a prtner; thus, there are 14 people left, and 3 of them is a partner.

Thus,

P(partner wins seond draw|partner wins first draw) = 3/14. [TRUE!]

Thus, the answer is OPTION A. [ANSWER]