Having just recently got out of jail, I can tell you it is infinitely easy to kill yourself. You would not believe the ingenuity of some of those attempts and successes.

If the institution gets a hint that you are suicidal you will be placed in some sort of anti-suicide cell, which generally means that you are in solitary, you wear a paper or foam suit with no other clothing, you have no bed linen or any paper materials in your cell, and all your food comes on foam trays without any cutlery and has to be eaten with your fingers.