Choosing at random probabilities

These are the type of people watching a film at a cinema:

• Adult male: 21
• Adult female: 14
• Child male: 10
• Child female: 5

Two of these people are chosen at random to recieve free cinema tickets, calculate the probability of the 2 chosen people being adults and the same gender.

• Add together 21, 14, 10 and 5, This gives 50.
• ((21/50)*(20/49))+((14/50)*(13/49))
• This gives 0.24571 or 43 over 175 (fraction)