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 not true?
The probability of a secretary winning a ticket on the first draw is 6/15.
The probability of a secretary winning a ticket on the second draw given a consultant won a ticket on the first draw is 6/15.
The probability of a consultant winning a ticket on the first draw is 1/3.
The probability of two secretaries winning both tickets is 1/7.