The United States has 10 federal holidays.Each holiday and the date of the holiday in 2016 are listed in the table below. Suppose you employer allows you to take up to three of the federal holidays off from work.What is the sample space for the number of federal holidays you take off?

Question

The United States has 10 federal holidays.Each holiday and the date of the holiday in 2016 are listed in the table below.  Suppose you employer allows you to take up to three of the federal holidays off from work.What is the sample space for the number of federal holidays you take off?

Quizplus · Accepted Answer

The sample space is the set of possible outcomes. In this case, the possible outcomes are the number of federal holidays you take off, which can be 0, 1, 2, or 3. Therefore, the sample space is S = {0,1,2,3}. Choice B is incorrect because it only includes one possible outcome (taking all 3 holidays off). Choice C lists all of the federal holidays but does not give the sample space. Choice D is incorrect because there is a clear sample space of possible outcomes.

The United States Has 10 Federal Holidays