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.

Therefore the only statement that is not true is b.)

Step-by-step explanation:

There employees are 6 secretaries, 5 consultants and 4 partners in the firm.

a.) The probability that a secretary wins in the first draw

=

b.) The probability that a secretary wins a ticket on second draw.  It has been given that a ticket was won on the first draw by a consultant.

p(secretary wins on second draw | consultant  wins on first draw)

=

=  .

The probability that  a ticket was won on the first draw by a consultant a secretary wins a ticket on second draw  = is not true.

The probability that a secretary wins on the second draw  =

c.) The probability that a consultant wins on the first draw  =

d.) The probability of two secretaries winning both tickets

= (probability of a secretary winning in the first draw) × (The probability that a secretary wins on the second draw)

=

Therefore the only statement that is not true is b.)