Preheat the oven to gas 7, 220ºC, fan 200ºC. Put the sprouts, chorizo sausages, shallots, garlic, paprika and olive oil in a roasting tin. Toss together until well mixed.
Roast for 15 minutes, stirring halfway through, until the sausages are cooked through and the sprouts have taken on a little colour.
Remove from the oven, and stir through the vinegar and the tarragon. Serve immediately.
For top tips on protecting you and your family when preparing raw meat and poultry, visit Food Safety in the Home and view the full Food safety at home video.