In a group of 10 people, 6 are wearing glasses and 4 are not. If we randomly select two people from the group, what is the probability that both of them are wearing glasses?
The probability is 3/15 or 1/5.

Here's the reasoning:
1. We have 10 people in total, with 6 wearing glasses.
2. When selecting the first person, there are 6 favorable outcomes (people wearing glasses) out of 10 possible outcomes (total number of people).
3. After selecting one person wearing glasses, there are now 5 people wearing glasses left and 9 people in total.
4. So, when selecting the second person, there are 5 favorable outcomes (remaining people wearing glasses) out of 9 possible outcomes (remaining total number of people).
5. To find the probability of both events happening together, we multiply their individual probabilities: (6/10) * (5/9) = 30/90
6. Simplifying this fraction gives us 3/15 or 1/5.