The probability of choosing a vegetarian who wears glasses is 1/10 or 0.1.

Here's the reasoning behind this:

1. There are 50 people in total, so there are 50 possible choices when selecting one person at random.
2. We're looking for the probability of choosing a vegetarian who also wears glasses. There are 5 such individuals in the group (as stated in the question).
3. To find the probability, we divide the number of desired outcomes (5) by the total number of possible outcomes (50). So, the probability is 5/50, which simplifies to 1/10 or 0.1.
In a group of 50 people, 20 are vegetarians, and 30 are non-vegetarians. If 5 vegetarians and 10 non-vegetarians wear glasses, what is the probability that a person chosen at random from the group will be a vegetarian who wears glasses?