In a drawer there is a pair of green gloves and pair of brown gloves. You…

Classical probability rule: when all outcomes of drawing objects are equally likely, P(event) = n(favorable outcomes) / n(total possible outcomes), found by enumerating the sample space of ways to choose the objects (or counting it via combinations).

Applying this to the gloves:

1. Label the four gloves individually: G1, G2 (green) and B1, B2 (brown).

2. List every equally likely way to pick 2 gloves out of the 4: {G1G2, B1B2, G1B1, G1B2, G2B1, G2B2} — 6 pairs in total.

3. Pick out the pairs where both gloves share a colour: {G1G2, B1B2} — 2 such pairs.

4. Apply P(matched pair) = n(favorable)/n(total) = 2/6 = 1/3.

Cross-check with combinations: the two matching pairs come from choosing 2 of the 2 green gloves, or 2 of the 2 brown gloves, i.e. C(2,2) + C(2,2) = 1 + 1 = 2, over the total C(4,2) = 6 ways to choose any 2 gloves. This again gives 2/6 = 1/3.

So the probability of drawing a matched pair is 1/3.