Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Qhan Academy
Get Al Tutoring
NEW
Donate [?
jaka
Sample spaces for compound events
Google Classroom
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 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) Neither
Lucy's display:




Sport
Season


Volleyball
Fall


Volleyball
Winter


Volleyball
Spring




Do 4 problems

Qhan Academy\newlineGet Al Tutoring\newlineNEW\newlineDonate [?\newlinejaka\newlineSample spaces for compound events\newlineGoogle Classroom\newlineLucy and Katy are registering for a sports league for next year. There are 22 sports (volleyball and basketball) and 33 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.\newlineWhose display correctly represents the sample space?\newlineChoose 11 answer:\newline(A) Lucy only\newline(B) Katy only\newline(C) Both\newline(D) Neither\newlineLucy's display:\newline\begin{tabular}{ll} \newlineSport & Season \\\newline\hline Volleyball & Fall \\\newlineVolleyball & Winter \\\newlineVolleyball & Spring\newline\end{tabular}\newlineDo 44 problems

Full solution

Q. Qhan Academy\newlineGet Al Tutoring\newlineNEW\newlineDonate [?\newlinejaka\newlineSample spaces for compound events\newlineGoogle Classroom\newlineLucy and Katy are registering for a sports league for next year. There are 22 sports (volleyball and basketball) and 33 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.\newlineWhose display correctly represents the sample space?\newlineChoose 11 answer:\newline(A) Lucy only\newline(B) Katy only\newline(C) Both\newline(D) Neither\newlineLucy's display:\newline\begin{tabular}{ll} \newlineSport & Season \\\newline\hline Volleyball & Fall \\\newlineVolleyball & Winter \\\newlineVolleyball & Spring\newline\end{tabular}\newlineDo 44 problems
  1. Calculate total combinations: There are 22 sports and 33 seasons, so the total number of combinations should be 22 sports times 33 seasons, which equals 66 possible outcomes.
  2. Verify volleyball outcomes: Lucy's display shows 33 outcomes for volleyball, but we need to check if she also has 33 outcomes for basketball to make sure all 66 possible outcomes are represented.
  3. 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.

More problems from One-step inequalities: word problems