Qhan AcademyGet Al TutoringNEWDonate [?jakaSample spaces for compound eventsGoogle ClassroomLucy 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 o randomly picking a sport and a season.Whose display correctly represents the sample space?Choose 1 answer:(A) Lucy only(B) Katy only(C) Both(D) NeitherLucy's display:\begin{tabular}{ll} Sport & Season \\\hline Volleyball & Fall \\Volleyball & Winter \\Volleyball & Spring\end{tabular}Do 4 problems
Q. Qhan AcademyGet Al TutoringNEWDonate [?jakaSample spaces for compound eventsGoogle ClassroomLucy 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 o randomly picking a sport and a season.Whose display correctly represents the sample space?Choose 1 answer:(A) Lucy only(B) Katy only(C) Both(D) NeitherLucy's display:\begin{tabular}{ll} Sport & Season \\\hline Volleyball & Fall \\Volleyball & Winter \\Volleyball & Spring\end{tabular}Do 4 problems
Calculate total combinations: There are 2 sports and 3 seasons, so the total number of combinations should be 2 sports times 3 seasons, which equals 6 possible outcomes.
Verify volleyball outcomes: Lucy's display shows 3 outcomes for volleyball, but we need to check if she also has 3 outcomes for basketball to make sure all 6 possible outcomes are represented.
Limitations in determining correct displays: Since the problem doesn't show Katy's display or the rest of Lucy's display, we can't determine if either of them correctly represents the sample space without seeing all possible combinations.
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