students in the marching band are choosing new colors for the hats and the pants of their uniforms. for each…

students in the marching band are choosing new colors for the hats and the pants of their uniforms. for each item, they can choose yellow (y), green (g), or black (b). which table represents the sample space of choosing one color for the hat and one color for the pants?

students in the marching band are choosing new colors for the hats and the pants of their uniforms. for each item, they can choose yellow (y), green (g), or black (b). which table represents the sample space of choosing one color for the hat and one color for the pants?

Answer

Explanation:

Step1: Identify number of hat - color options

There are 3 hat - color options (yellow Y, green G, black B).

Step2: Identify number of pant - color options

There are 3 pant - color options (yellow Y, green G, black B).

Step3: Calculate sample - space size

By the fundamental counting principle, the size of the sample space (number of possible combinations) is the product of the number of hat - color options and the number of pant - color options. So, (3\times3 = 9). The sample space should list all possible pairs of hat and pant colors: YY, YG, YB, GY, GG, GB, BY, BG, BB.

Answer:

The third option (the one with 9 pairs: YY, YG, YB, GY, GG, GB, BY, BG, BB) represents the sample space.