How does insurance deal with a hit and run accident?

Often, uninsured motorist coverage from your car insurance company covers hit and run accidents: Uninsured motorist bodily injury (UMBI) coverage pays for medical expenses. Uninsured motorist property damage (UMPD) covers car repairs.

Whether you pay a deductible for a hit-and-run insurance claim depends on the circumstances of the accident and the type of car insurance coverage you have. If you're injured in a hit-and-run, you might make a claim on your uninsured motorist bodily injury coverage. You won't pay a deductible on that coverage.

1). There is no other coverage on your auto policy that will cover a hit and run; if youdo not carry this optional coverage, you will not have insurance benefits to cover your damage. ... A hit and run accident is frustrating because the person at fault has left the scene, leaving you to deal with the damage to your vehicle.

2). Whether you pay a deductible for a hit-and-run insurance claim depends on the circumstances of the accident and the type of car insurance coverage you have. If you're injured in a hit-and-run, you might make a claim on your uninsured motorist bodily injury coverage. You won't pay a deductible on that coverage.

it is an unplanned, unwanted and unintentionally sequence of events which result in loss of some kind 

It will be considered as own fault and customer has to pay excess to fix his car

THE PATIENT CAN CLAIM THE ACCIDENT FOR HIS INSURANCE

In case of TPL you will not get anything, but in case of Comprehensive you can get compensation.

Depending on your insurance policy and what is its statement. 

If you have a third party coverage, that mean your car is not covered, rather if someone else involved. 

If you have a full coverage, that cover your car and any other car. if it's your fault. 

Read the policy, there should be something about it.