Prefaced by the standard - generally, under most circumstances, etc - and what your looking for is a deduction (of the expense), not an exemption (which would be advantageous if it was income). Yes, as it would be a casualty loss deduction. However, as the casualty deduction has some restrictions to meet before it can be claimed, which is likely not to be met by the generally modest amount of a deductible, unless you have losses on top of the deductible, it is likely not really available.
No, you have to pay your deductible.
Yes. If the claim is being made on your insurance. For example, if the damages are $2000 and there is a $500 deductible, the insurance company will pay $1500.
Yes, if your own insurance is paying for an accident that you were at fault for provided you had full coverage and they are paying for your car. If the accident was not your fault, no you will not pay a deductible.
If they have insurance then you should not have to pay a deductible at all.
only if it was your fault
The other driver should be paying if they were at fault; you may sue them for your deductible in small claims court if they had no insurance.
Yes, you can. However, ultimately it is the at fault party's insurance company that will pay for the claim. In such a case, you will file a claim under your collision coverage and be subjected to the deductible. Once the claim is settled, your company will subrogate the loss with the other company(i.e. get reimbursed). Once that happens, you will be provided your deductible back. If you go through the at fault party's policy, you would file the claim under the property damage of the policy.
You do not have to pay the deductible if the other person's insurance is paying the claim. If you put the claim through your insurance, and do not have uninsured, underinsured motorist protection then you will have to pay the deductible regardless of who's at fault.
There is no deductible for liability claims.
Yes, you do.
Yes, The at fault party is responsible.
The identified third party at fault is responsible for paying the deductible in the event of a motor vehicle accident.