If you have the money to pay the higher deductible, that is definitely the way to go. Also, higher deductible plans often make you eligible for an HSA (health savings account) which is another tax-advantaged account you can use to help yourself in the long run.
Insurance is meant to cover catastrophe -- things that would bankrupt you if they happened. House burns down? Home insurance. Car wreck kills someone? Auto insurance. Get cancer and require a quarter million for the treatment? Health insurance.
Insurance companies are a business like any other -- they exist to make profit. For things that the average person can't afford, like $250,000 for chemotherapy or whatever, insurance makes sense because it spreads the cost out over the entire population, so that if you hit the "unlucky lottery" you're covered even though you can't pay for it yourself, by everyone else who did NOT get cancer subsidizing your treatment by paying their premiums.
Health insurance does NOT make sense for everyday routine things, like prescriptions, checkups, etc -- that is not insurance, that is prepaid healthcare. And the insurance companies won't do something if they can't make a profit out of it, because they won't voluntarily go bankrupt paying for everyone's prescriptions, so the only way it works (and the way it DOES work), is they raise the premiums to cover the cost of all that PLUS make themselves a little profit.
If you can afford to pay for the small things yourself, it will always be cheaper for you to do so because you don't have to pay for the added cream on top that the insurance companies MUST make in order to pay their staff, pay for the building's overhead like electricity and phones and the billing system etc, plus a little profit to stay in business.
Plus, the fact that you're 24 means it's very unlikely you will have a major problem. If the low deductible is 2k and the high deductible is 10k, then it doesn't make one shred of difference if you never have more than 2k in costs in a single year -- in that case you paid the extra premiums for a low deductible for nothing.
This is a no-brainer: take the highest deductible you can, get an HSA so you have another tax-advantaged account to help you, and just self-insure for the small stuff that is unlikely to come up anyway.
The only exception might be if you have something KNOWN that is going to come up in the next year, like if you're going to be having a baby and want the lower deductible so it doesn't cost you as much for the birth. But you can always switch plans during the open enrollment period, so there's no reason to anticipate farther than 1 year ahead when you're planning things like having a kid etc.