Assume that two employees have to be fired from group of seven:
• Amy, female, age 35
• Bob, male, age 41
• Chad, male, age 43
• Diana, female, age 44
• Elvis, male, age 49
• Frank, male, age 61
• Ginger, female, age 62
Assume for now that the company chooses the two employees to be fired at random, so all possible pairs of people have the same probability of being fired.
a. List all outcomes in the sample space. In other words, list all possible pairs of people that can be chosen from this group of seven people. (To save time and space, just use initials. For example, write AB to represent the (Amy, Bob) pair.)
b. Determine the probability (both as a fraction and a decimal) that both employees selected are female.