Question

Lucy and Katy are registering for a sports league for next year. There are 2 sports (volleyball and basketball) and 3 seasons (fall, winter, and spring) to choose from. They each created a display to represent the sample space of randomly picking a sport and a season. Whose display correctly represents the sample space?

Answer 1

The sample space is: AV, WV, SV, AB, WB, and SB

Explanation:

The sample space has all the possibilities in which Lucy and Katy can register for a sports league. Now, they have 2 sports and 3 seasons.

So, let's call V that they register in volleyball and B that they register in basketball. Additionally, let's call A that they register for fall, W that they register for winter, S that they register for spring.

It means that the sample space is:

AV, WV, SV, AB, WB, and SB

where, for example, AV is the possibility to be registered in fall and in volleyball.

Therefore, the display that correctly represents the sample space is the one that has all these possibilities.