When a policyholder has a high deductible that usually mean a. they have a higher coverage limit b. they pay higher premiums c. they pay lower premiums d. they have no coverage

C. They pay lower premiums

In order to lower your monthly premium for insurance costs, typically that will mean accepting a higher deductible rate when you do have an expense to pay.    On insurance policies, the deductible is an amount that the individual must pay out of their own pocket before the insurance policy covers any costs. 

Since you asked this question in the history area, let's note a little history. The first health insurance sort of coverage in the United States was accident insurance, offered by a company founded in 1850 that covered persons injured in railroad or steamboat accidents.  General health insurance covering sickness and such didn't begin in the US until after 1890.  Today, we've come to expect health insurance as a part of everyone's life and budget -- indeed, the Affordable Care Act of 2010 made it a legal requirement for Americans to carry health insurance or else pay a tax penalty if they did not. But health insurance wasn't always such a common commodity.