In a class, there are 12 boys and 8 girls. If we randomly select two students, what is the probability that both are girls?
Let's calculate this step by step:
1. There are a total of 12 + 8 = 20 students in the class.
2. The probability of selecting a girl first is 8/20 (8 girls out of 20 students).
3. After selecting one girl, there are now 7 girls and 19 students remaining.
4. The probability of selecting another girl is 7/19.
5. To find the probability of both events happening together, multiply the individual probabilities: (8/20) x (7/19).

The answer is (8/20) x (7/19), which simplifies to 14/95 or approximately 0.147.