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Did I Get This?

A flight has been overbooked; however, there are 2 seats available—one in business class and one in first class. The ground crew decides to upgrade 2 of the coach (regular class) passengers so that 2 more passengers will be able to get on the flight. The crew has identified 4 passengers, 2 males and 2 females, who are traveling by themselves and who have been loyal frequent fliers on the airline. They decide to choose 2 of those passengers at random for the upgrade. The first chosen will be upgraded to first class, and the second chosen will be upgraded to business class. We'll denote the 2 males and 2 females (as before) with M1, M2, F1 and F2.

What is the sample space in this case?

S = {(M1, M2) (M1, F1) (M1, F2) (M2, F1) (M2, F2) (F1, F2)}
S = {(M1, M2) (M2, M1) (M1, F1) (F1, M1) (M1, F2) (F2, M1) (M2, F1) (F1, M2) (M2, F2) (F2, M2) (F1, F2) (F2, F1)}

Which of the following is true?

The probability that the two chosen will be of the same gender is equal to the probability that the show chosen will not be of the same gender.
The probability that the two chosen will be of the same gender is exactly half of the probability that the show chosen will not be of the same gender.
The probability that the two chosen will be of the same gender is exactly twice the probability that the show chosen will not be of the same gender.

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